Find the measure of the given angles. Show work!!

Given:

The figure of a right angle triangle.

To find:

The value of x and measures of all angles of the triangle.

Solution:

According to the angle sum property, the sum of all interior angles of a triangle is 180 degrees.

Using angle sum property, we get

It can be written as

Divide both sides by 2.

The value of x is -10.

Now,

And,

Therefore, the value of x is -10, measure of angle A is 40 degrees and measure of angle B is 50 degrees.