Question

if the complement of an angle is equal to the suplement of the thrice of it . Find the measure of the angle​

Answer 1

Answer:

The Measure of the Angle is 45°.

Step-by-step explanation:

Let x is the measure of the angle.

Then it's complement angle is (90°-x).

It's supplementary angle is (180°-x).

Given that,

The complement of an angle is equal to the supplement of the thrice of it = 3(90-x) =(180-x)

= 270-3x = 180-x

= 270-180 = 3x-x

= 90 = 2x

= x = 90

2

= x = 45°

Therefore, the Measure of the Angle(x) is 45°.

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