Question

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

Explanation:

Step1: Use property of parallelogram

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

Step2: Simplify the equation

Combine like - terms: \(20+2x + 6x=180\), which 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