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Question

Of the two supplementary angles the measure of larger angle is 50o more than the measure of the angle . find the measure of each angle.

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Solution

Let the smaller angle be x

Large rangle =x+50.

Given sum of supplementary angles is=180.

X+X+50=180

2X+50=180.

2X=18050

2X=130

X=1302

X=65

Therefore smaller angle=65.

Larger angle=X+50=65+50=110.

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