Question

yolanda is making a banner for a school pep rally. she cuts fabric in the shape of a parallelogram. the angle at the bottom - left corner measures 80°. what is the value of x? 40 50 100 160

Explanation:

Step1: Use the property of adjacent angles in a parallelogram

In a parallelogram, adjacent angles are supplementary. That is, their sum is \(180^{\circ}\).
Let the given angle be \(80^{\circ}\) and the angle \(x^{\circ}\) be adjacent to it.
So, we have the equation \(x + 80=180\).

Step2: Solve the equation for \(x\)

Subtract \(80\) from both sides of the equation \(x + 80=180\).
\(x=180 - 80\).

Answer:

\(100\)