1.

If an angle is eight times its complementary angle, then the measurement of the angle is1. 20º2. 40º3. 80º4. 60º

Answer» Correct Answer - Option 3 : 80º

Given:

An angle is eight times its complementary angle

Concept used:

Two angles are said to be complementary angles if their sum is 90º

Calculations:

Let  the required angle be y

Hence, its complementary angle is (90 − y)

⇒ y = 8 × (90 - Y)

⇒ y = 720 - 8y

⇒ 9y = 720

⇒ y = 720/9

⇒ y =  80º

∴  The measurement of the angle is 80º



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