Question

In parallogram PQRS, angle p=3x and angle Q=6x, find the measure of all the angles

Answer 1

Opposite angles of a parallelogram are equal
angle p=angle R, Q=S
angle P+q+r+s=360 degree
3x+3x+6x+6x=360
18x=360
X=360/18
X=20 degree
3x=3*20=60
6x=6*20=120

Answer 2

Given :- |_P = 3x

|_Q = 6x


as we know that ,

=> Sum of adjacent angle of a parallelogram is 180

So,

|_P + |_Q = 180

3x + 6x = 180

9x = 180

x = 20

Now,

=> Opposite angle of parallelogram are equal

So,

|_P = |_R

|_Q = |_S





|_ P = 3x

3x

3 × 20

= 60

|_P = 60

|_ R = 60



|_Q = 6x

6x

6 × 20

= 120

|_Q = 120

|_S = 120