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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:

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: Correct Answer 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°

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