Question

the complement of an angle is one third of its. supplement . find the measure of the angle
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Answer 1

Answer:

The required angle is 45°

Step-by-step explanation:

Let the required angle be Z.

Than, the complement angle =(90-Z)

and supplementary angle = (180-Z)

According to the question,

$(90-Z)= \frac{1}{3} X(180-Z)\\=> 3(90 - Z) = (180-Z)\\\\=> 270 - 3Z = 180-Z\\\\=> 270 - 180 = -Z + 3Z\\=> 90 = 2Z\\=> \frac{90}{2} = Z\\=> Z = 45$