Question

Thrice the complement of an angle is equal to the twice of its supplement.

Find the measure of the angle.​

Answer 1

Thrice 45 degrees = (3 * 45) degrees = 135 degrees. The supplement of 135 degrees is (180 - 135) degrees = 45 degrees. 45 degrees is the correct answer. ... The measure of angle A is 60 degrees more than its complement.

Answer 2

Answer:

Step-by-step explanation:

Let the measure of the angle be x.

Its complement=90-x

Thrice its complement=3(90-x)

Its supplement=180-x

Twice its supplement=2(180-x)

ATQ-

3(90-x)=2(180-x)

270-3x=360-2x

3x-2x=270-360

x=-90(rejected due to negativity)

Hence, the angle is not possible