Question

you do practice
the quadrilateral is a parallelogram.
find the measure of angles 1, 2, and 3.

1. measure of angle 2?

type a response

1. measure of angle 3?

type a response

Explanation:

Step1: Use the property of parallelogram (adjacent angles are supplementary)

In a parallelogram, adjacent angles are supplementary. Let the given angle be \(80^{\circ}\). For angle \(2\), since \(80^{\circ}+ \angle2 = 180^{\circ}\) (adjacent angles in a parallelogram).

Step2: Solve for \(\angle2\)

\(\angle2=180^{\circ}- 80^{\circ}=100^{\circ}\)

Step3: Use the property of parallelogram (opposite angles are equal)

In a parallelogram, opposite angles are equal. For angle \(3\), \(\angle3\) is opposite to the given \(80^{\circ}\) angle. So \(\angle3 = 80^{\circ}\)

Answer:

1. \(100^{\circ}\)
2. \(80^{\circ}\)