Question

parallelogram. angles 1, 2, and 3. 6. measure of angle 2? 7. measure of angle 3?

Explanation:

Step1: Use the property of parallelogram

In a parallelogram, consecutive angles are supplementary. That is, the sum of consecutive angles is \(180^{\circ}\). Angle with \(80^{\circ}\) and angle \(2\) are consecutive angles.
So, \(80^{\circ}+\angle2 = 180^{\circ}\)

Step2: Solve for \(\angle2\)

Subtract \(80^{\circ}\) from both sides of the equation \(80^{\circ}+\angle2 = 180^{\circ}\)
\(\angle2=180^{\circ}- 80^{\circ}\)
\(\angle2 = 100^{\circ}\)

Answer:

\(100^{\circ}\)