The measure of the first angle in a right triangle is 10 less than the measure of the second angle. The third angle is the right angle. Find the measures of the first and second angle

Triangle angles add up to a total of 180 degrees.

X will substitute for the second angle.

(X - 10) will substitute for the first angle, which is 10 less than the second angle (x).

The third angle is a right angle which is 90 degrees.

The equation therefore, the summation of the angles:

90 + x + (x - 10) = 180

Join like terms:

80 + 2x = 180

Solve for x:

2x = 100

x = 50

This means that:

The second angle is 50.

The first angle is 50 - 10 which is 40.

We can double check by adding the angles 50, 40, and 90 together to get 180.