A right triangle has acute angles measuring 2x + 6 degrees and 3x - 26 degrees. Use the triangle angle sun theorem to find the measured of the missing angles of the triangle

Answer 1

The sum of the angles in a triangle is always 180 degrees. Therefore, we can set up an equation to find the value of x:

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

5x - 20 + 90 = 180
5x + 70 = 180
5x = 110
x = 22

Now we can find the measure of the missing angles:

First acute angle: 2(22) + 6 = 50 degrees
Second acute angle: 3(22) - 26 = 56 degrees

Therefore, the measured of the missing angles of the triangle are 50 degrees and 56 degrees.