Question

two adjacent angles of a parallelogram are in the ratio of 4 is to 5 find all the angles of the parallelogram

Answer 1

Let the angles be 4x and 5x
now
we know that the two adjacent angles are supplementary.
therefore
4x+5x=180
=>9x=180
=>x=20
now
5x=5(20)=100
4x=4(20)=80
the angles are
80,100,80,100

Answer 2

Let the angles be 4x and 5x respectively
So, adjacent angles are supplementary.
4x + 5x = 180
9x= 180
x = 20

4x = 4 x 20 = 80°
5x = 5 x 20 = 100

As opposite angles are equal so the angles of parallelogram are 80°, 100° , 80°,100°