Answer:
The measures of the angles are 36.9 deg, 53.1 deg, 90 deg.
Explanation:
The lengths of the sides are the famous Pythagorean triple: 3, 4, 5.
To find the angles, we use trigonometry.
Since it's a right angle, the longest side is the hypotenuse.
The hypotenuse has length 5.
The legs have lengths 3 and 4.
tan A = opp/adj
A = tan^(-1) opp/adj
A = tan^(-1) 4/3 = 53.1 deg
The acute angles of a right triangle are complementary.
B = 90 - A = 90 deg - 53.1 deg = 36.9 deg
Answer:
The measures of the angles are 36.9 deg, 53.1 deg, 90 deg.