Question

1. in the polygon pictured, what is the measure of angle k?

110°
the answer depends on the values of the individual angles.
180°
we need more information to solve this problem.

Explanation:

Step1: Recall linear - angle property

A linear - pair of angles sums to 180°. Angle \(k\) and the 70° angle form a linear pair.

Step2: Calculate angle \(k\)

Let \(k + 70^{\circ}=180^{\circ}\), then \(k = 180^{\circ}-70^{\circ}=110^{\circ}\).

Answer:

110°