MathematicsAn angle is 18∘less than its complementary angle. What is the measure of this angle?

An angle is 18∘less than its complementary angle. What is the measure of this angle?


  1. A
    36∘
  2. B
    48∘
  3. C
    83∘
  4. D
    81∘  

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    Solution:

    Given,
    We have to find an angle is 18∘less than its complementary angle.
    Let the smaller angle be x.
    ∴Bigger angle= (x+18∘) We know the sum of the complementary angles is  90∘ .
    ⇒x+(x+18∘)=90∘ ⇒2x=90∘-18∘ ⇒2x=72∘ ⇒x=36∘ An angle is 18∘ less than its complementary angle, then the measure of the angle is 36∘.
    Therefore, option 1 is correct.
     
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