If the compliment of an angle is equal to the supplement of Thrice of itself, find the measure of the angle?
Question:

If the compliment of an angle is equal to the supplement of Thrice of itself, find the measure of the angle?

Solution:

Let the angle measured be ‘x’ say.

Its complementary angle is (90 – x) and

Its supplementary angle is (180 – 3x)

Given that, Supplementary of 4 times the angle = (180 – 3x)

According to the given information;

(90 – x) = (180 – 3x)

3x – x = 180 – 90

2x = 90

x = 90/2

x = 45

Therefore, the measured angle x = (45)°

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