The measure of one of the small angles of a right triangle is 15 less than twice the measure of the other small angle. Find the measure of both angles.

A= 35°

b= 55°

Step-by-step explanation:

Let's take the small angles of the right angle triangle to be and b

a+b +90= 180(sum of angles in a right angle triangle)

The measure of one of the small angles of a right triangle is 15 less than twice the measure of the other small angle

2a-15= b

a+2a -15 +90= 180

3a = 180-75

3a= 105

a= 105/3

a= 35°

a+b +90= 180.

35+b+90= 180

b = 180-90-35

b = 55°

x = 35°;  y = 55°

Step-by-step explanation:

  Let x = one of the angles

 and y = the other angle. Then

       2x = twice the measure of x and

2x - 15 = 15 less than twice the measure of x

You have two conditions

(1) y = 2x - 15

(2) x+ y = 90

Calculations:

x = 35°; y = 55°

Check:

It checks.

one that is bigger than 3 1/2