a right triangle has acute angles measuring 2x+6 degrees and 3x-26 degrees.

Answer 1

To find the angles of a right triangle, we know that the sum of the angles in a triangle is 180 degrees.

Since one angle is 90 degrees (the right angle), the other two angles in the right triangle must add up to 90 degrees.

Let's set up an equation to solve for x.

2x+6 + 3x-26 = 90
5x - 20 = 90
5x = 110
x = 22

Now that we have found x, we can substitute it back into the expressions for the angles to find their measurements.

The first angle: 2(22) + 6 = 50 degrees
The second angle: 3(22) - 26 = 40 degrees

Therefore, the acute angles of the right triangle measure 50 degrees and 40 degrees.