Question

the supplement of an angle is 3 time of its complement find the angle and its supplement

Answer 1

Let the angle be x
The according to the given conditions
Supplementary angle of x=180-x
(since ,supplementary angles sum is 180°)
Complementary angle of x=90-x
(since complementary angles sum is 90°)
That is,
180-x=3(90-x)
180-x=270-3x
2x=90
X=45
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Therefore the angle x = 45°
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The supplementary angle of x
=180-45
=135°
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