Question

figure pqrs is a parallelogram. the expressions represent the measures of the angles in degrees. what is the value of x? (20 + 2x)° (6x)° 5 10 20 25

Explanation:

Step1: Recall parallelogram property

In a parallelogram, adjacent - angles are supplementary, so $\angle Q+\angle R = 180^{\circ}$.

Step2: Set up the equation

We have $(20 + 2x)+6x=180$.

Step3: Combine like - terms

$20+2x + 6x=180$ simplifies to $20 + 8x=180$.

Step4: Isolate the variable term

Subtract 20 from both sides: $8x=180 - 20$, so $8x=160$.

Step5: Solve for x

Divide both sides by 8: $x=\frac{160}{8}=20$.

Answer:

20