Answer:
The measure of the 3 angles is 36.9, 53.1 and 90 degrees.
Explanation:
5^2 = 3^2 + 4^2 so , by the inverse of Pythagoras Theorem, this is a right angled triangle so one angle is 90 degrees.
We can find the other 2 angles using trigonometrical ratios.
One angle will have a sine of 3/5 and the other a sine of 4/5.
So the angles are arcsin 3/5 = 36.9 degrees and the other is arcsin 4/5 = 53.1 degrees.