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The measures of two adjacent angles of a parallelogram are in the ratio 3 : 2. Find the measure of each of the angles of the parallelogram.

The measures of two adjacent angles of a parallelogram are in the ratio 3 : 2. Find the measure of each of the angles of the parallelogram. 

Grade:12

1 Answers

Harshit Singh
askIITians Faculty 5871 Points
3 months ago
​Dear Student

Let the measures of two adjacent angles ∠A and ∠B be 3x and 2x respectively inparallelogram ABCD.
∠A+∠B=180°
⇒3x+2x=180°
⇒5x=180°
⇒x=36°
We know that opposite sides of a parallelogram are equal.∠A = ∠C = 3x = 3 × 36° = 108°
∠B = ∠D = 2x = 2 × 36° =72°

​​Thanks

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