Question

in triangle prq, the measure of angle q is 70°.

find the measure of angle p.

type your answer in the box.

Explanation:

Step1: Identify triangle type

Since \( \overline{PR} \cong \overline{PQ} \), triangle \( PRQ \) is isosceles with \( \angle R = \angle Q \).

Step2: Find \( \angle R \)

Given \( \angle Q = 70^\circ \), so \( \angle R = 70^\circ \).

Step3: Calculate \( \angle P \)

Sum of angles in a triangle is \( 180^\circ \). Let \( \angle P = x \). Then \( x + 70^\circ + 70^\circ = 180^\circ \). Solving, \( x = 180^\circ - 140^\circ = 40^\circ \).

Answer:

\( 40^\circ \)