Question

If the complement of an angle is equal to the supplement of the thick of it. Find the measure of the angle.
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Answer 1

Answer:

Let complement of an angle is n of an original angle (90-n). So supplement of that angle will be 180-90+n=90+n. So 3(90-n)=90+n, or 270-90=3n+n=4n. or n=180÷4=45°. So complent of the angle 45°=90-45=45° & complement of the angle =180-45=135°.

Answer 2

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The complement of the angle =90-x

The supplementary of the angle x=180-x

ATQ

90-x =180 -3x

3x- x =180- 90

2x=90

x =45

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