{"id":647327,"date":"2023-06-26T22:34:31","date_gmt":"2023-06-26T17:04:31","guid":{"rendered":"https:\/\/infinitylearn.com\/surge\/question\/if-the-difference-of-two-complementary-angles-is-10-then-what-is-the-measure-of-the-smaller-angle\/"},"modified":"2025-06-20T14:28:42","modified_gmt":"2025-06-20T08:58:42","slug":"if-the-difference-of-two-complementary-angles-is-10-then-what-is-the-measure-of-the-smaller-angle","status":"publish","type":"questions","link":"https:\/\/infinitylearn.com\/surge\/question\/mathematics\/if-the-difference-of-two-complementary-angles-is-10-then-wh\/","title":{"rendered":"If the difference of two complementary angles is 10, then what is the measure of the smaller angle?"},"content":{"rendered":"","protected":false},"author":1,"template":"","meta":{"_yoast_wpseo_focuskw":"","_yoast_wpseo_title":"","_yoast_wpseo_metadesc":"If the difference of two complementary angles is 10, then what is the measure of the smaller angle?","custom_permalink":"question\/mathematics\/if-the-difference-of-two-complementary-angles-is-10-then-wh\/"},"categories":[],"acf":{"question":"

If the difference of two complementary angles is <\/span>10<\/mn><\/math>, then what is the measure of the smaller angle?<\/span><\/p>

<\/p>

<\/p><\/spanstyle=\"-aw-import:ignore\"><\/pstyle=\"margin-top:0pt;margin-bottom:0pt;line-height:normal\"><\/spanstyle=\"-aw-import:ignore\"><\/pstyle=\"margin-top:0pt;margin-bottom:0pt;line-height:normal\">","options":[{"option":"40<\/mn><\/mrow>\u2218<\/mo><\/mrow><\/msup><\/math> <\/span>","correct":true},{"option":"50<\/mn><\/mrow>\u2218<\/mo><\/mrow><\/msup><\/math> <\/span>","correct":false},{"option":"45<\/mn><\/mrow>\u2218<\/mo><\/mrow><\/msup><\/math> <\/span>","correct":false},{"option":"35<\/mn><\/mrow>\u2218<\/mo><\/mrow><\/msup><\/math> <\/span> <\/span>","correct":false}],"solution":"Given,<\/span>
Difference of two complementary angles = <\/span>10<\/mn><\/math>
Let first angle <\/span>=<\/mo>x<\/mi><\/math>.<\/span>
Then its complementary angle <\/span>=<\/mo>90<\/mn><\/mrow>\u00b0<\/mo><\/mrow><\/msup>-<\/mo>x<\/mi><\/math>.<\/span>
Also, given that the difference of the complementary angles is <\/span>10<\/mn><\/mrow>o<\/mi><\/mrow><\/msup><\/math>.<\/span>
Then,<\/span>
x<\/mi>-<\/mo>(<\/mo>90<\/mn>\u00b0<\/mo>-<\/mo>x<\/mi>)<\/mo>=<\/mo>10<\/mn>\u00b0<\/mo><\/math> <\/span>\u27f9<\/mo>x<\/mi>-<\/mo>90<\/mn>\u00b0<\/mo>+<\/mo>x<\/mi>=<\/mo>10<\/mn>\u00b0<\/mo><\/math> <\/span>\u27f9<\/mo>2<\/mn>x<\/mi>=<\/mo>10<\/mn><\/mrow>\u00b0<\/mo><\/mrow><\/msup>+<\/mo>90<\/mn><\/mrow>\u00b0<\/mo><\/mrow><\/msup>=<\/mo>100<\/mn>\u00b0<\/mo><\/math> <\/span>\u27f9<\/mo>x<\/mi>=<\/mo>50<\/mn>\u00b0<\/mo><\/math>.<\/span>
Second angle = 90\u00b0 - 50\u00b0<\/span>=<\/mo>40<\/mn>\u00b0<\/mo><\/math>.<\/span>
Hence, the smaller angle <\/span>=<\/mo>40<\/mn><\/mrow>\u2218<\/mo><\/mrow><\/msup><\/math>. <\/span>
Therefore, option 1 is correct.<\/span>
 <\/span>","subject":"Mathematics"},"yoast_head":"\nIf the difference of two complementary angles is 10, then what is the measure of the smaller angle? - Infinity Learn by Sri Chaitanya<\/title>\n<meta name=\"description\" content=\"If the difference of two complementary angles is 10, then what is the measure of the smaller angle?\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/infinitylearn.com\/surge\/question\/mathematics\/if-the-difference-of-two-complementary-angles-is-10-then-wh\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"If the difference of two complementary angles is 10, then what is the measure of the smaller angle? - Infinity Learn by Sri Chaitanya\" \/>\n<meta property=\"og:description\" content=\"If the difference of two complementary angles is 10, then what is the measure of the smaller angle?\" \/>\n<meta property=\"og:url\" content=\"https:\/\/infinitylearn.com\/surge\/question\/mathematics\/if-the-difference-of-two-complementary-angles-is-10-then-wh\/\" \/>\n<meta property=\"og:site_name\" content=\"Infinity Learn by Sri Chaitanya\" \/>\n<meta property=\"article:publisher\" content=\"https:\/\/www.facebook.com\/InfinityLearn.SriChaitanya\/\" \/>\n<meta property=\"article:modified_time\" content=\"2025-06-20T08:58:42+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2025\/04\/infinitylearn.jpg\" \/>\n\t<meta property=\"og:image:width\" content=\"1920\" \/>\n\t<meta property=\"og:image:height\" content=\"1008\" \/>\n\t<meta property=\"og:image:type\" content=\"image\/jpeg\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:site\" content=\"@InfinityLearn_\" \/>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"If the difference of two complementary angles is 10, then what is the measure of the smaller angle? - Infinity Learn by Sri Chaitanya","description":"If the difference of two complementary angles is 10, then what is the measure of the smaller angle?","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/infinitylearn.com\/surge\/question\/mathematics\/if-the-difference-of-two-complementary-angles-is-10-then-wh\/","og_locale":"en_US","og_type":"article","og_title":"If the difference of two complementary angles is 10, then what is the measure of the smaller angle? - Infinity Learn by Sri Chaitanya","og_description":"If the difference of two complementary angles is 10, then what is the measure of the smaller angle?","og_url":"https:\/\/infinitylearn.com\/surge\/question\/mathematics\/if-the-difference-of-two-complementary-angles-is-10-then-wh\/","og_site_name":"Infinity Learn by Sri Chaitanya","article_publisher":"https:\/\/www.facebook.com\/InfinityLearn.SriChaitanya\/","article_modified_time":"2025-06-20T08:58:42+00:00","og_image":[{"width":1920,"height":1008,"url":"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2025\/04\/infinitylearn.jpg","type":"image\/jpeg"}],"twitter_card":"summary_large_image","twitter_site":"@InfinityLearn_","schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"Organization","@id":"https:\/\/infinitylearn.com\/surge\/#organization","name":"Infinity Learn","url":"https:\/\/infinitylearn.com\/surge\/","sameAs":["https:\/\/www.facebook.com\/InfinityLearn.SriChaitanya\/","https:\/\/www.instagram.com\/infinitylearn_by_srichaitanya\/","https:\/\/www.linkedin.com\/company\/infinity-learn-by-sri-chaitanya\/","https:\/\/www.youtube.com\/c\/InfinityLearnEdu","https:\/\/twitter.com\/InfinityLearn_"],"logo":{"@type":"ImageObject","@id":"https:\/\/infinitylearn.com\/surge\/#logo","inLanguage":"en-US","url":"","contentUrl":"","caption":"Infinity Learn"},"image":{"@id":"https:\/\/infinitylearn.com\/surge\/#logo"}},{"@type":"WebSite","@id":"https:\/\/infinitylearn.com\/surge\/#website","url":"https:\/\/infinitylearn.com\/surge\/","name":"Infinity Learn by Sri Chaitanya","description":"Surge","publisher":{"@id":"https:\/\/infinitylearn.com\/surge\/#organization"},"potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/infinitylearn.com\/surge\/?s={search_term_string}"},"query-input":"required name=search_term_string"}],"inLanguage":"en-US"},{"@type":"WebPage","@id":"https:\/\/infinitylearn.com\/surge\/question\/mathematics\/if-the-difference-of-two-complementary-angles-is-10-then-wh\/#webpage","url":"https:\/\/infinitylearn.com\/surge\/question\/mathematics\/if-the-difference-of-two-complementary-angles-is-10-then-wh\/","name":"If the difference of two complementary angles is 10, then what is the measure of the smaller angle? - Infinity Learn by Sri Chaitanya","isPartOf":{"@id":"https:\/\/infinitylearn.com\/surge\/#website"},"datePublished":"2023-06-26T17:04:31+00:00","dateModified":"2025-06-20T08:58:42+00:00","description":"If the difference of two complementary angles is 10, then what is the measure of the smaller angle?","breadcrumb":{"@id":"https:\/\/infinitylearn.com\/surge\/question\/mathematics\/if-the-difference-of-two-complementary-angles-is-10-then-wh\/#breadcrumb"},"inLanguage":"en-US","potentialAction":[{"@type":"ReadAction","target":["https:\/\/infinitylearn.com\/surge\/question\/mathematics\/if-the-difference-of-two-complementary-angles-is-10-then-wh\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/infinitylearn.com\/surge\/question\/mathematics\/if-the-difference-of-two-complementary-angles-is-10-then-wh\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Home","item":"https:\/\/infinitylearn.com\/surge\/"},{"@type":"ListItem","position":2,"name":"If the difference of two complementary angles is 10, then what is the measure of the smaller angle?"}]}]}},"_links":{"self":[{"href":"https:\/\/infinitylearn.com\/surge\/wp-json\/wp\/v2\/questions\/647327"}],"collection":[{"href":"https:\/\/infinitylearn.com\/surge\/wp-json\/wp\/v2\/questions"}],"about":[{"href":"https:\/\/infinitylearn.com\/surge\/wp-json\/wp\/v2\/types\/questions"}],"author":[{"embeddable":true,"href":"https:\/\/infinitylearn.com\/surge\/wp-json\/wp\/v2\/users\/1"}],"wp:attachment":[{"href":"https:\/\/infinitylearn.com\/surge\/wp-json\/wp\/v2\/media?parent=647327"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/infinitylearn.com\/surge\/wp-json\/wp\/v2\/categories?post=647327"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}