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Question

Find the angles in each of the following.
The angles whose supplement is four times its complement

A
60
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B
30
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C
120
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D
None of these
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Solution

The correct option is A 60
Find the angle whose supplement is 4 times its complement

Let say Angle =X°

Supplement angle=180°X°

Complement Angle =90°X°

supplement is 4 times its complement
=>180°X°=4(90°X°)

=>180°X°=360°4X°

=>3X°=180°

=>X°=60o.

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