Question

in a parallelogram one angle 2 by 3 of its adjacent angle find all the angles of the parallelogram​

Answer 1

Answer:

The angles of the parallelogram are 108, 72, 108, 72

Step-by-step explanation:

let one pf the angles of the parallelogram be x

the adjacent angle of x, given is 2/3 of x which is equal to 2x/3

in a parallelogram opposite angles are equal

therefore,

the  angles of the parallelogram are x, 2x/3, x, 2x/3

in a parallelogram sum of all the angles of the parallelogram is equal to 360 degrees

therefore,

x + 2x/3 + x + 2x/3 = 360

2x + 4x/3 = 360

(6x+4x)/3  = 360

10x/3 = 360

10x = 360 * 3

x = 360*3 / 10

x = 108

2x/3 = 2 * 108 /3

2x/3 = 72

therefore the angles of the parallelogram are 108, 72, 108 and 72