Answer
Yes, they are right angles
Work Step by Step
The legs are 50 and 120 and the hypotenuse is 130. Plug them into the Pythagorean theorem to determine if they are equal $a^{2}$ + $b^{2}$= $c^{2}$-->$50^{2}$ + $120^{2}$= $130^{2}$:
$50^{2}$ + $120^{2}$= $130^{2}$ -simplify the exponents-
2500+14400=16900 -add like terms-
16900=16900 -Compare,they are equal so this is a right triangle-
Yes, they are right angles.