Question

The measure of two adjacent angel of parallelogram are in the ratio 3:2.find the measure of each angel of parallelogram

Answer 1

Answer:

The measure of two adjacent angles is 180°.

The ratio of two angles is given i.e 3:2.

3+2=5

180°×3/5=108°

180°×2/5=72°

Therefore the answer is 108° and 72° respectively.

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Answer 2

let the angles is 3x and 2x

sum of the two adjacent angles between two parallel lines is 180 degree

3x + 2x = 180

x = 180/5 = 36

the measure of angle ;

3x = 3 * 36 = 108

2x = 2 * 36 = 72

the opposite side in parallelogram is equal therefore each angles are

108 , 72 ,108 ,72    

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