Let x be the angle (in degree) which is 34° less than its supplement and y be the angle (in degrees) which is 38° more than its complement. Then, (2x - y) is equal to

Let x be the angle (in degree) which is 34° less than its supplement and y be the angle (in degrees) which is 38° more than its complement. Then, (2x - y) is equal to Correct Answer 82

Given:

x is the angle (in degree) which is 34° less than its supplement 

y is the angle (in degrees) which is 38° more than its complement

Concept:

When the sum of two angles is 90°, then the angles are known as complementary angles

When the sum of two angles is 180°, then the angles are known as supplementary angles.

Calculation;

Supplementary angle of x = (180° - x)

According to the question:

⇒ x = (180° - x) - 34° = (180° - x - 34°

⇒ x = 73° 

Now Complemetry angle of y = (90° - y)

According to the question:

⇒ y =  (90° - y) + 38° = (90° - y + 38°)

⇒ y = 64° 

⇒ (2x - y) = (2(73°) - 64°)) = 82° 

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