Question

Two adjacent angle of paralleogram have equal measure. Find the measure of each of the angle of paralleogram

Answer 1

Let the equal adjacent side be x,

Therefore,

x + x = 180 { co-interior angles }
2x = 180
x = 90


Therefore, adjacent side = 90.

Opposite side of parallelogram are equal.

Therefore, all angles of parallelogram = 90°


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Answer 2

hi friend

here's your answer looking for

the sum of adjacent angle of parallelogram is equal to 180 degree. ( co int angles)

so, from the given figure

angle DAB + angle ABC=180degree_________(1)

and, angle DAB = angle ABC_______(2)


putting (2) in (1)

we get,

angle DAB +angle DAB = 180
2DAB= 180
angle DAB = 90

hence all angle of parallelogram are of 90 degree.


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from brainly star Amaytripathi19