Question

If an angle of a parallelogram is four-fifth of it's adjacent angle, find the angles of the parallelogram.

Answer 1

Answer:

100∘, 80∘

Step-by-step explanation:

Let of the angles be = x

       adjacent angles= 4/5x

since the sum of adjacent angles is 180∘

so  x+4/5x=180∘

(5x+4x)/5 = 180∘

9x/5= 180∘

x = (180*5)/9  = 100∘

Therefore, one of the angles is 100∘, and the other is 80∘.