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

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

Grade:12

1 Answers

Harshit Singh
askIITians Faculty 5963 Points
3 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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