Figure PQRS is a parallelogram. The expressions represent the measures of the angles in degrees. Parallelogram P Q R S is shown. Angle Q is (20 + 2 x) degrees and angle R is (6x) degrees.

What is the value of x?

5
10
20
25

Given:

In parallelogram PQRS, .

To find:

The value of x.

Solution:

In a parallelogram, the consecutive interior angles are supplementary angles.

In parallelogram PQRS,

           (Supplementary angles)

Subtracting 20 from both sides, we get

Divide both sides by 8.

Therefore, the correct option is C.

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