Question

what is the measure of ∠p? 180 degrees 65 degrees 115 degrees none of the above

Explanation:

Step1: Identify the shape

The figure is a trapezoid with one - pair of parallel sides.

Step2: Recall angle - sum property of trapezoid

In a trapezoid, when two non - parallel sides are equal (isosceles trapezoid), base angles are equal. The angle given is \(115^{\circ}\), and \(\angle P\) is a base angle corresponding to the given non - base angle.

Step3: Calculate \(\angle P\)

Since the sum of adjacent angles along the non - parallel sides of a trapezoid is \(180^{\circ}\), and the given non - base angle is \(115^{\circ}\), then \(\angle P=115^{\circ}\) (base angles of an isosceles trapezoid are equal).

Answer:

115 degrees