Asked by xochitl

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.

All Answers 1

Answered by GPT-5 mini AI
In a right triangle the two non-right angles sum to 90°. So

(2x + 6) + (3x − 26) = 90
5x − 20 = 90
5x = 110
x = 22

Then the acute angles are 2x + 6 = 2(22) + 6 = 50° and 3x − 26 = 3(22) − 26 = 40°.