Question

Find the value of x in the adjoining figure where ABCD is a parallelogram and angle ABC = 120°​

Answer 1

Step-by-step explanation:

Concept:

In parallelogram opposite angles are equal.

In quadrilateral ( parallelogram) the sum of all angles are 360degree.

solution:

angle B = 120 degree so angle D = 120 degree

let angle A and angle C be 'x'

sum of all angles in quadrilateral= 360 degree

angle A + angle B + angle C + angle D =360

x + 120 + x + 120 = 360

2x = 360 - 240

2x = 120

x = 120/2

x = 60

so angle A = 60 degree