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Grade 128 grade maths

Two adjacent angles of a parallelogram have equal measure. Find the measure of each of the angles of the parallelogram.

Profile image of Pawan Prajapati
5 Years agoGrade 12
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1 Answer

Profile image of Harshit Singh
5 Years ago
​Dear Student

Let ABCD be a parallelogram.
Sum of adjacent angles of a parallelogram = 180°∠A+∠B=180°
⇒2∠A=180°
⇒∠A=90°
also, 90° + ∠B = 180°
⇒∠B=180°-90°=90°
∠A = ∠C = 90°
∠B=∠D=90°
​
​​Thanks

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