Question

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.

Answer 1

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