Let x be the angle (in degrees) which is 32° less than its supplement

1.	Let x be the angle (in degrees) which is 32° less than its supplement and y be the angle (in degrees) which is 24° more than its complement. The sum of x and y is:1. 1262. 1313. 1374. 121
Answer» Correct Answer - Option 2 : 131 Concept Complementary angles are those angles whose sum is 90° Supplementary angles are those whose sum is 180° Calculation x + x + 32° = 180° ⇒ 2x = 180° - 32° = 148° So, x = 74° y + y - 24° = 90° ⇒ 2y = 90° + 24° = 114° So, y = 57° Then, x + y = 74° + 57° = 131°

Let x be the angle (in degrees) which is 32° less than its supplement and y be the angle (in degrees) which is 24° more than its complement. The sum of x and y is:1. 1262. 1313. 1374. 121

Answer» Correct Answer - Option 2 : 131

Concept

Complementary angles are those angles whose sum is 90°

Supplementary angles are those whose sum is 180°

Calculation

x + x + 32° = 180°

⇒ 2x = 180° - 32° = 148°

So, x = 74°

y + y - 24° = 90°

⇒ 2y = 90° + 24° = 114°

So, y = 57°

Then, x + y = 74° + 57° = 131°