Question

in parallelogram PQRS,if angle P =(2x-30°) angle Q=(2x+10),then find the value of x and then find the measure angle R and angle S​

Answer 1

Step-by-step explanation:

In a parallelogram, adjacent angles sum up to 180 degree

So (2x-30) + (2x+10) = 180

4x-20=180

4x =200

x=200/4

x =50

then P and R are opposite angles so they are equal

so angles R=2x-30

R =2(50)-30

R=100-30

R=70

Similarly, angle Q and S are equal

angle S=2x+10

S=2(50)+10

S =100+10

S=110

I hope this helped you