Question

what is the value of q? 80°

Explanation:

Step1: Recall angle - sum property

The two angles are adjacent and form a straight - line. The sum of adjacent angles on a straight - line is 180°.

Step2: Set up the equation

Let the given angle be 80° and the unknown angle be \(q\). So, \(q + 80^{\circ}=180^{\circ}\).

Step3: Solve for \(q\)

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

Answer:

100°