Angle ∠B is a right-angle then the measure of angle ∠A is 43.6 degrees and the measure of angle ∠C is 46.4 degrees.
What is a right-angle triangle?
It is a type of triangle in which one angle is 90 degrees and it follows the Pythagoras theorem and we can use the trigonometry function. The Pythagoras is the sum of the square of two sides is equal to the square of the longest side.
The triangle ΔABC is given.
The angle ∠B is a 90°.
Then the value of the angle ∠C will be
[tex]\rm C = \sin ^{-1} \dfrac{21}{29}\\\\C = 46.40^o[/tex]
Then the value of the angle ∠A will be
∠A + ∠C = 90°
∠A + 46.40° = 90°
∠A = 43.6°
More about the right-angle triangle link is given below.
https://brainly.com/question/3770177
