Question

Two adjacent angles of a parallelogram are in ratio 1:5.find all the angles of parallelogram

Answer 1

Sum of adjacent angles  = 180

Let angles be x and 5x

x + 5x = 180

6x = 180

x = 30

So angles of the parallelogram are 30, 150, 30 and 150

Hope this helps! :)

Answer 2

Hey, here is your answer!

Let the angles be 1x,5x

Therefore, 1x+5x=180 (Supplementary angles)
6x=180
x=30°

The angles are:-
1x=30
5x=5*30
=150

Therefore, the other angles can be found by vertically opposite property.

I.E.- The angles are 30,150,30,150.