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.
The Triangle Angle Sum Theorem states that the measures of the three angles in any triangle add up to 180 degrees. Therefore, we can set up an equation using the given angle measures to find the value of x. Once we find the value of x, we can plug it back into the expressions for the angles to find their specific measures. By using the theorem and solving for x, we can determine the measures of the missing angles in the right triangle. In this case, the missing angles are the right angle (90 degrees) and the two acute angles measured in terms of x.
