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Question

Two opposite angles of a parallelogram are (3x2) and (50x).find the measure of each angle of the parallelogram.

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Solution

Given two opposite angles of a parallelogram are (3x2) and (50x)
We know that opposite angles of a parallelogram are equal.
Hence (3x2)=(50x)
3x+x=50+2
4x=52
x=524=13
(3x2)=[3(13)2]=[392]=37
Sum of adjacent angles is 180
Hence other two equal opposite angles =18037=143

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