Question

In a right triangle, the acute angles measure x + 15 and 2x degrees. What is the measure of the smallest angle of the triangle?

Answer 1

First, solve for each of the angles. Since it is a right triangle, one of the angles is 90 degrees. Knowing that the sum of the angles of a triangle are always equal to 180 degrees, you can write an equation for the triangle.

Angle1+ angle2+angle3=180.

Which means that 90+(x+15)+2x=180.

After finding the value of x, which is 25 in this case, solve for each angle.

X+15=25+15=40.

2x=25*2= 50

The value of the smallest angle is 40 degrees.