Question

figure pqrs is a parallelogram. the expressions represent the measures of the angles in degrees. what is the value of x? 5 10 20 25

Explanation:

Step1: Use the property of adjacent angles in a parallelogram

In a parallelogram, adjacent angles are supplementary. So, \((20 + 2x)+6x=180\)

Step2: Simplify the equation

Combine like - terms: \(20+2x + 6x=180\) becomes \(20 + 8x=180\)

Step3: Solve for \(x\)

Subtract 20 from both sides: \(8x=180 - 20\), so \(8x=160\). Then divide both sides by 8: \(x=\frac{160}{8}=20\)

Answer:

20