Question

The ratio of angle A and angle B of the parallelogram 5:4 find measure of angle A ​

Answer 1

angleA : angleB = 5 :4

let the angles are 5x , 4x

sum of the adjacent angles of parrallelogram = 180°

5x + 4x = 180 => 9x = 180°

x = 20 ,angle A = 5x

= 5(20) = 100°

Answer: angle A = 100°

Answer 2

let common multiple be x

therefore measure angle A = 5x and measure of angle B = 4x respectively.

adjacent angles of a parallelogram is 180°

therefore angleA + angleB = 180°

5x+4x=180

9x=180

x=180/9

x=20

therefore angleA = 5x = 5×20=100

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