Question

Two angles in triangle PQR are congruent, ∠P and ∠Q; ∠R measures 28.45°. What is the measure of ∠P?

28.45°
75.775°
121.55°
151.55°

Answer 1

Explanation:

the sum of all angles in a triangle is ALWAYS 180°.

and by using the word "congruent" : for angles that only means they are equally large.

we know the third angle.

so,

180 = P + Q + R = 2×P + 28.45

(because P = Q)

2×P = 151.55

P = Q = 151.55 / 2 = 75.775°