194k views
17 votes
The measure of angle Q is 70 degrees. Find the measure of angle P.

The measure of angle Q is 70 degrees. Find the measure of angle P.-example-1
User Dabadaba
by
4.3k points

1 Answer

11 votes

Answer:

∠ P = 40°

Explanation:

Since PQ = PR then the triangle is isosceles and the base angles are congruent, then

∠ R = ∠ Q = 70° , so

∠ P = 180° - (70 + 70)° ← sum of angles in triangle is 180°

∠ P = 180° - 140° = 40°

User Ertebolle
by
4.4k points