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) make ir sound like a 7th grader

Answer 1

To find the missing angles of the triangle, we can add the two acute angles together and subtract the total from 180 degrees.

So, if we add 2x+6 and 3x-26 together, we get:

2x+6 + 3x-26 = 5x - 20

This total angle measure is equal to 90 degrees (since it's a right triangle), so we can set up the equation:

5x - 20 = 90

Then, we solve for x:

5x = 110

x = 22

Now that we have found x, we can plug it back into the expressions for the acute angles:

2(22) + 6 = 50 degrees
3(22) - 26 = 40 degrees

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