Question

If PQRS is a parallelogram such that ZP = (x+20) and ZS =(x-40)° then x = ​

Answer 1

Answer:

The value of x is 100.

Step-by-step-explanation:

We have given that,

∠P and ∠S are angles of parallelogram PQRS.

In □PQRS, ∠P and ∠S are adjacent angles.

We know that,

Adjacent angles of a parallelogram are supplementary.

∴ ∠P + ∠S = 180°

⇒ ( x + 20 ) + ( x - 40 ) = 180

⇒ x + 20 + x - 40 = 180

⇒ x + x + 20 - 40 = 180

⇒ 2x - 20 = 180

⇒ 2x = 180 + 20

⇒ 2x = 200

⇒ x = 200 ÷ 2

⇒ x = 100

∴ The value of x is 100.

Answer 2

Given-

• If PQRS is a parallelogram such that ZP = (x+20) and ZS =(x-40)° then x =

To Find-

• Value of x

Solution-

★We know that the adjacent angle of a parallelogram sums up to 180°

-» (x+20)+(x-40)=180°

-» x+20+x-40=180°

-» 2x-20=180°

-» 2x=180+20

-» 2x=200

-» x=200/2

-» x=100

°•° The value of x is 100.