Question

measure of two adjacent angles of a parallelogram are in ratio 4 is to 5 find the measure of each angle of parallelogram

Answer 1

Answer:

Step-by-step explanation:

Sum of the adjacent angles in any parallelogram= 180

ratio of adjacent angles = 4:5 (given)

let first angle = 4x

second angle = 5x

4x+5x=180

9x=180

x=180/9

x= 20

therefore

required angles are

first angle = 4x= 4*20 =80

second angle = 5x= 5*20 =100

Answer 2

Let the common multiple be 'x'.
let the angle A be '4x'
let the angle B be '5x'

By the condition,
4x+5x=180' (adjacent side of a parallelogram are 180')
4x+5x=180'
9x=180'
x=180/9
x=20'

angle A= 4x=4*20=80'
angle B=5x=5*20=100'
angleB=D=100'
angle A=C=8'



hope it will help you