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)

Question

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)
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GPT 3.5 · Answer

To find the missing angle, we first add the two given acute angles:

(2x + 6) + (3x - 26) = 180
5x - 20 = 180
5x = 200
x = 40

Now we can find the measures of the missing angles:
First angle: 2(40) + 6 = 86 degrees
Second angle: 3(40) - 26 = 94 degrees

Therefore, the missing angles of the triangle are 86 degrees and 94 degrees.

Answer

make your answer shorter

GPT 3.5 · Answer

The missing angles of the triangle are 86 degrees and 94 degrees.

Answer

make your anser meidium leangth

GPT 3.5 · Answer

To find the missing angles of the right triangle, first, add the two given acute angles (2x + 6) and (3x - 26) to get 5x - 20 = 180. Solving for x gives x = 40. Substituting this back into the expressions gives the missing angles as 86 degrees and 94 degrees.