Problema Solution
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 provided by our tutors
let 'x' represent the measure of the vertex angle, then '2x' represents the measure of either of the base angles
the sum of the angles in any triangle is 180 degrees, so:
180 = x + 2x + 2x
5x = 180
x = 180/5 =36
the vertex angle measures 36 degrees