Question

If angle A is 2/3 of its supplement then find the complementary angle of A

Answer 1

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we assume the supplement of required angle = x°

=> required angle = 2/3 of x = (2x/3)°

& x + 2x/3 = 180°

=> 5x/3 = 180°

=> x = (3 * 180°)/5

=> x = 3* 36 = 108

=> x = 108°

Hence required angle = (2 * 108) /3 = 2* 36 = 72°

Required angle = 72°

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Answer 2

we assume the supplement of required angle = x°

=> required angle = 2/3 of x = (2x/3)°

& x + 2x/3 = 180°

=> 5x/3 = 180°

=> x = (3 * 180°)/5

=> x = 3* 36 = 108

=> x = 108°

Hence required angle = (2 * 108) /3 = 2* 36 = 72°

Required angle = 72°