Question

if an angle of parallelogram is two third its adjacent angle find the angle of the parallelogram

Answer 1

Sum of adjacent angle of parallelogram is 180 degree. (they are on same side of transversal)
Let the adjacent angle be x.
So, x + (2/3)x = 180
(3x+2x)/3 = 180
5x = 180*3=540
x = 540/5 =108
(2/3)x = (2/3)*108 = 72
therefore angles of parallelogram are 72 degree and 108 degree.

Answer 2

Answer:

let the adjacent angle be x.

so

$x + \frac{2}{3} x = 180$

$\frac{3x + 2x}{3} = 180$

5x=180×3=540

$x = \frac{540}{5} = 108$

$\frac{2}{3} x = \frac{2}{3} \times 108 = 72$

Step-by-step explanation:

therefore,adjacent angle is

108,72,108,72