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Question

Two supplementary angles , the measure of the largest angle is 36 degree more than measures of the smaller angles . Find their measures.

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Solution

Let the first angle be x
Then according to question other angle is x+36

As angles are supplementary, therefore x + x+36 = 180 degree
x = 72 degree
Therefore the other angle will be 72 + 36 = 108 degree


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