#### 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.