The measure of one of the small angles of a right triangle is 26 more than 3 times the measure of the other small angle. find the measure of both angles.

Let's define the following variable:

x = "the measure of the other small angle"

We have then that the measure of the angle is:

3x + 26

The sum of the angles of a triangle is 180:

(3x + 26) + (x) + (90) = 180

We clear x:

4x = 180-90-26

x = (180-90-26) / (4)

x = 16 degrees

Therefore, the measure of the other angle is:

3 * (16) + 26 = 74 degrees

Answer:

the measure of both angles are:

16 degrees

74 degrees