Question

1. what is the measure of angle q°? 70° 180° 90° 110°

Explanation:

Step1: Use the property of adjacent angles in a parallelogram

In a parallelogram, adjacent angles are supplementary. That is, the sum of adjacent angles is \(180^{\circ}\).
Let the angle \(q\) and the \(110^{\circ}\) angle be adjacent.
So, \(q + 110^{\circ}=180^{\circ}\)

Step2: Solve for \(q\)

Subtract \(110^{\circ}\) from both sides of the equation:
\(q=180^{\circ}- 110^{\circ}\)
\(q = 70^{\circ}\)

Answer:

\(70^{\circ}\)