An angle is smaller than its supplementary by 30°. What is the measure of the angle? ?->(Show Answer!)

1. An angle is smaller than its supplementary by 30°. What is the measure of the angle?

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By: anil on 05 May 2019 02.17 am

Let the angle = $$ heta$$ Its supplementary angle = $$( heta + 30$$°$$)$$ Sum of an angle and its supplementary angle = 180° => $$ heta + ( heta + 30$$°$$) = 180$$° => $$2 heta = 180$$°$$ - 30$$°$$ = 150$$° => $$ heta = frac{150}{2} = 75$$°

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