Find the magnitude of an angle which is 2/3 of its supplement
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Answer:
a = 72 degree .
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Step-by-step explanation:
The measure of an angle is 2/3 the measure of its supplement.
Find the measure of the angle and its supplement. let one angle be
= x then its supplement =( 180-x)
according to the sum we have x = 2/3 (180-x) x = 2/3*180 - 2/3*x x = 2*60-2/3x x+2/3*x= 120-2/3*x+2/3*x 3x+2x/3 = 120 5x/3*3= 120*3 5x = 360 5x/5 = 360/5 x
= 72 degrees the supplement angle = 180-72 = 108 degrees
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