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.And pls answer like a 7th grader no complicated words bot
Ok, so the Triangle Angle Sum Theorem says that all three angles in a triangle add up to 180 degrees. So we can add up the two given angles:
(2x+6) + (3x-26) = 180 degrees
Now we just need to solve for x:
2x+6 + 3x-26 = 180
5x - 20 = 180
5x = 200
x = 40
Now we can plug in x to find the measures of the missing angles:
2(40) + 6 = 86 degrees
3(40) - 26 = 114 degrees
So, the missing angles are 86 degrees and 114 degrees.