A right try 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

1 answer

The sum of the angles in any triangle is always 180 degrees.

So, we have:

(2x + 6) + (3x - 26) + (90) = 180

5x - 20 + 90 = 180

5x + 70 = 180

5x = 110

x = 22

Now we can find the measures of the missing angles:

1. 2x + 6 = 2(22) + 6 = 50 degrees

2. 3x - 26 = 3(22) - 26 = 40 degrees

Therefore, the missing angles are 50 degrees and 40 degrees.