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°