A right triangle has acute angles measuring 2x+6 degrees and 3x−26 degrees. Use the Triangle Angle Sum Theorem to find the measures of the missing angles of the triangle.(4 points)
Since the sum of the measures of the angles in a triangle is always 180 degrees, we can set up an equation: (2x+6) + (3x-26) + 90 = 180. Solving for x, we find x = 22. Thus, the missing angles are 50 degrees and 86 degrees.
