Question

If the supplementary angle of x is 6 times its complementary angle, then x is ______.
1. 180° 
2. 90° 
3. 72° 
4. 46° 

Answer 1

Correct Answer - Option 3 : 72° 

Concept Used 

Sum of supplementary angle is 180° 

Sum of complementary angle is 90° 

Calculation 

⇒ 180° - x = 6(90° - x)

⇒ 5x = 360°

⇒ x = 72° 

∴ The required answer is 72°