Question

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

Explanation:

Step1: Recall angle - sum property of quadrilateral

The sum of the interior angles of a quadrilateral is 360°.

Step2: Set up the equation

Let the measure of angle \(q\) be \(x\). The angles of the quadrilateral are \(110^{\circ},110^{\circ},x,x\). So, \(110 + 110+x + x=360\).

Step3: Simplify the equation

Combining like - terms, we get \(220 + 2x=360\).

Step4: Solve for \(x\)

Subtract 220 from both sides: \(2x=360 - 220=140\). Then divide both sides by 2: \(x = 70\).

Answer:

D. 70°