Question

The two guy wires supporting a tower form an isosceles triangle with the ground. Each of the base angles of the triangle is 2 times the third angle (the vertex angle). Find the measure of the vertex angle.

Answer 1

Answer:

The measure of the vertex angle is 36 degrees.

Step-by-step explanation:

In order to find this, we set the vertex angle as x and the base angles as 2x. Now we can add all three angles together and set equal to 180.

x + 2x + 2x = 180

5x = 180

x = 36