Math, asked by gauravjaiswal94, 1 year ago

two adjacent angles of parallelogram are congruent what is the measure of each

Answers

Answered by Shaanraj
2
Hey mate!!!

 <b >Here is your answer ;</b >

Given,
2 adjacent angles are congruent.
Let them be <1 and <2.
<1 = <2
Then,
Sum of cointerior angles of a parallelogram is 180

=> <1 + <2 = 180

=> <1 + <1 = 180

=> 2<1 = 180

=> <1 = \frac{180}{2}

=> <1 = 90.

Therefore all the angles of the parallelogram are 90 each. Then, the quadrilateral is a rectangle.

 &lt;b &gt;&lt;big &gt;&lt;marquee &gt;I hope it helps you #need more brainliests marks
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