Question

the two guy wires supporting a tower form an isosceles triangle with the ground. each of the base angles of the triangle is 4 times the third angle. find the measure of the vertex angle

Answer 1

Internal measure of a triangle is 180 degrees
base angles of an isosceles triangle are =
therefore each base angle is 4x
4x+4x+x=180
9x= 180
  x=20
vertex angle= 20