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Let x be the angle which is equal to its complement and y be the angle which is equal to its supplement. Then 2x + 3y is equal to

Let x be the angle which is equal to its complement and y be the angle which is equal to its supplement. Then 2x + 3y is equal to Correct Answer 360° 

Concept 

Complementary angles are those angles whose sum is 90º 

Supplementary angles are those whose sum is 180º

Calculation

x is equal to its complement 

⇒ x + x = 90º 

2x = 90º

⇒ x = 45º

y is equal to its supplement 

⇒ y + y = 180º

2y = 180º

⇒ y = 90º

so, 2x + 3y = 2 × 45º + 3 × 90º = 90º + 270º = 360º

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