The measure of an angle whose supplement is three times as large as its complement, is ?->(Show Answer!)

1. The measure of an angle whose supplement is three times as large as its complement, is

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By: anil on 05 May 2019 01.51 am

The measure of an angle whose supplement is three times as large as its complement, is Let the angle be $$ heta$$ Supplement of $$ heta = 180^{circ}- heta$$ and complement of $$ heta = 90^{circ}- heta$$ Acc. to ques => $$3* (90^{circ}- heta) = 180^{circ}- heta$$ => $$270^{circ} - 3 heta = 180^{circ} - heta$$ => $$2 heta = 270^{circ}-180^{circ}$$ => $$ heta = frac{90^{circ}}{2} = 45^{circ}$$

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