Answer:
(d) 72.925°
Step-by-step explanation:
You have congruent angles P and Q in triangle PQR, where angle R measures 34.15°. You want to know the measure of angle P.
Angle sum theorem
The angle sum theorem tells you the sum of angles in a triangle is 180°.
P +Q +R = 180°
P +P +34.15° = 180° . . . . . substitute equivalents
2P = 145.85° . . . . . . . . . subtract 34.15°
P = 72.925° . . . . . . . . divide by 2
The measure of ∠P is 72.925°.
