Question

the ratio of angle A and angle B of a parallelogram ABCD is 5:4 find the measure of angle A​

Answer 1

angleA : angleB = 5 : 4

let the constant ratio be 'x'

so now let the angles A = 5x

and B = 4x

sum of 2 adjacent angles of parrallelogram = 180°

5x + 4x = 180

9x = 180 => x = 20

Angle A measure = 5x = 5(20) = 100°

Answer: angle A = 100°

Answer 2

hey your answer is A=163.5