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: Recall the property of adjacent angles in a parallelogram

In a parallelogram, adjacent angles are supplementary. That is, the sum of adjacent angles is \(180^{\circ}\).

Step2: Set up the equation

Let the given angle be \(80^{\circ}\) and the angle \(x\) be adjacent to it. Then the equation is \(x + 80^{\circ}=180^{\circ}\).

Step3: Solve for \(x\)

Subtract \(80^{\circ}\) from both sides of the equation: \(x=180^{\circ}- 80^{\circ}\).

Answer:

\(100\)