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Q.

An angle is equal to 8 times its complement. Its measure is ____ ∘  .


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Detailed Solution

An angle is equal to 8 times its complement. Its measure is 80 ∘  .
Let the angle = x.
Then other angle = (90° – x°).
According to question,
x=8(90−x)   ⇒x=720−8x   ⇒x+8x=720   ⇒9x=720   ⇒x= 720 9   ⇒x= 80 ∘  
Hence, the measure of angle is 80°.
 
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