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Question 138
The adjacent angles of a parallelogram are (2x4) and (3x1). Find the measures of all angles of the parallelogram.

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Solution

The adjacent angles of a parallelogram are supplementary.
(2x4)+(3x1)=180
5x5=1805x=185x=1855x=37

Thus, the adjacent angles are
2x4=2×374=744=70.
and 3x1=3×371=1111=110
Hence, the angles are 70,110,70,110.
[ Opposite angles in a parallelogram are equal].

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