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Question

Find the measure of an angle, if five times of its complement is 24o less than twice of its supplement.

A
46
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B
38
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C
24
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D
32
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Solution

The correct option is B 38
Two angles whose sum is 180o are said to be supplementary.
Two angles whose sum is 90o are said to be complementary.
Let the angle be x.
Given that 5(90x)=2(180x)24
4505x=3602x245x2x=450360+243x=474360
3x=114x=1143
x=38
Therefore, the angle is 38o.

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