Question

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

Explanation:

Step1: Use the property of consecutive angles in a 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: \(x=\frac{160}{8}\).

Answer:

\(20\)