the supplement of an angle is one third of itself. Determine the angle and its supplement.

Match the items on the right to the items on the left.

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let the measure of the angle be x°. then the meausre of its supplementary angle is (180-x)°

from given, 180-x=1/3*x

3(180-x)=x

540-3x=x

4x=540

x=135

measure of the angle is 135° and the measure of the supplementary angle is 180°-135°=45°