In the right triangle, the acute angles add up to 90 degrees, so setting up the equation \( (2x + 6) + (3x - 26) = 90 \) gives us \( 5x - 20 = 90 \), leading to \( 5x = 110 \) and \( x = 22 \). Therefore, the acute angles measure \( 2(22) + 6 = 50 \) degrees and \( 3(22) - 26 = 40 \) degrees, while the right angle measures \( 90 \) degrees.
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) written in a simple sentence
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