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)

but make it short and not that smart

1 answer

The sum of all angles in a triangle is always 180 degrees. So, if the two acute angles are 2x+6 and 3x-26 degrees, then the third angle can be found by subtracting the sum of the two angles from 180 degrees. So, the missing angle would be 180 - (2x+6 + 3x-26) = 180 - 5x - 20 degrees.