Question

consider the triangle. the measures of the angles of the triangle are 32°, 53°, 95°. based on the side - lengths, what are the measures of each angle? m∠a = 32°, m∠b = 53°, m∠c = 95° m∠a = 53°, m∠b = 95°, m∠c = 32°

Explanation:

Answer:

In a triangle, the longest side is opposite the largest - angle and the shortest side is opposite the smallest - angle. Given side lengths 8, 12, and 15. The smallest side is 8, the middle - length side is 12, and the longest side is 15. The smallest angle is 32°, the middle - sized angle is 53°, and the largest angle is 95°. So, the angle opposite the side of length 8 is 32°, the angle opposite the side of length 12 is 53°, and the angle opposite the side of length 15 is 95°. So the answer is \(m\angle A = 32^{\circ},m\angle B = 53^{\circ},m\angle C = 95^{\circ}\)