Question

What will be the measurement of the angle if the difference of three times of the supplementary angle and the seven times of the complementary angle equals to 10°.
1. 25°
2. 30°
3. 35°
4. None of these

Answer 1

Correct Answer - Option 1 : 25°

Given:

(3 × supplementary angle) - (7 × complementary angle) =10° 

Formula Used/Concept used:

Sum of complementary angle is 90° 

Sum of supplementary angle is 180° 

Calculation:

Let the angle be x

⇒ {3 × (180° - x)} - {7 × (90° - x)} = 10° .

⇒ 540° - 3x - (630° - 7x) = 10° 

⇒ 540° - 3x - 630° + 7x = 10°

⇒ 4x - 90° = 10°

⇒ 4x = 10° + 90°

⇒ 4x = 100°

⇒ x = 100°/4

⇒ x = 25° 

∴ The required answer is 25°