Question

in parallelogram r w c v, find y. after you enter your answer press go. y =

Explanation:

Step1: Use property of consecutive angles in parallelogram

In a parallelogram, consecutive angles are supplementary. So, \(16x + 4x=180\).
$$16x + 4x=180$$
$$20x = 180$$
$$x=\frac{180}{20}=9$$

Step2: Use property of opposite angles in parallelogram

In a parallelogram, \(\angle W\) and \(\angle V\) are consecutive angles (\(\angle W+\angle V = 180^{\circ}\)), or we can also use the property that \(\angle V\) and \(4x\) are supplementary (since \(RW\parallel CV\) and \(RV\) is a transversal).
\(y + 4x=180\). Substitute \(x = 9\) into the equation.
$$y+4\times9=180$$
$$y + 36=180$$
$$y=180 - 36$$

Answer:

\(y = 144\)