Question

If the supplement of an angle is three times its complement, then angle is:
(A) 40°
(B) 35°
(C) 50°
(D) 45°

Answer 1

Answer:

(D) 45°

Step-by-step explanation:

Let the angle be 'x'.

Given,

Supplement of angle = (180 -x)

Complement of angle = (90 - x)

According to the problem,

(180 - x) = 3(90 - x)

180 - x = 270 - 3x

2x = 90

x = 45°

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