∠C = 95°
∠A = 32°
∠B = 53°
Explanation:
The given three angles: 32°, 53°, 95°
The given three sides from the diagram: 12, 15, 8
There is a theorem that states (comparing angles and sides in a triangle):
the angle opposite a longer side is lager than the angle opposite a shorter side. In other words, the larger the side, the larger the angle.
The largest side = 15
The angle opposite the largest angle will be the larget angle = 95°
Hence, ∠C = 95°
The smallest side = 8
The smallest angle = 32°
The angle opposite the smallest angle will be the smallest angle = 32°
∠A = 32°
The third side = 12
The angle opposite the third side will be = 53°
∠B = 53°
