In a||gm if and find the value of and the measure of each angle of the parallelogram.

It is given that in ABCD, and
We know that opposite angles of parallelogram are equal.


A = C and B = D
Also,


A + B = 180° …Adjacent angles of parallelogram are supplementary
(2x + 25)° + (3x − 5)° = 180°
5 +20° = 180°
5x° = 160°
= 32°
A = 2 32 + 25 = 89°


B = 3 32 − 5 = 91°
Hence, x = 32°,
A = C = 89° and B = D = 91°


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