In the triangle to the right, the measure of angle A equals the measure of angle B . Find the value of x. x = (Simplify your answer.)

Answer 1

Since angle A equals angle B, we can call the measure of both angles x.

In a triangle, the sum of the angles is 180 degrees. Since angle A and angle B are equal, we can write the equation:

x + x + 52 = 180

Combining like terms gives:

2x + 52 = 180

Subtracting 52 from both sides gives:

2x = 128

Dividing both sides by 2 gives:

x = 64

Therefore, the value of x is 64.