Question

In a parallelogram if the pair of adjacent angles are x-30 degrees ; 2 x+60 degrees. Find all angles.

Answer 1

in a parallelogram, sum of adjacent angles = 180°

(x-30) + (2x+60) = 180

3x + 30 = 180

3x = 150

x = 50°

(x-30) = 20°

(2x+60) = 160°

So in the given parallelogram, the four angles are: 20°, 20°, 160°, 160°.