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Question

If an angle of a parallelogram is four-fifths of its adjacent angle, find the angles of the parallelogram

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Solution

Let one angle of parallelogram=x
Adjacent angle of parallelogram=180x
According to problem
x=45(180x)
5x=7204x
9x=720
x=80o
One angle=80o
Adjacent angle=100o.

1116606_1160235_ans_bd60cf5cc1b6414eb44c52c3af660a2e.jpg

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Diagonals of a Parallelogram divides it into two congruent triangles
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