SOLUTION: The two guy wires supporting a tower form an isosceles triangle with the ground. Each of the base angles of the triangle is 7 times the third angle (the vertex angle). Find the mea

Algebra ->  Angles -> SOLUTION: The two guy wires supporting a tower form an isosceles triangle with the ground. Each of the base angles of the triangle is 7 times the third angle (the vertex angle). Find the mea      Log On


   



Question 989336: The two guy wires supporting a tower form an isosceles triangle with the ground. Each of the base angles of the triangle is 7 times the third angle (the vertex angle). Find the measure of the vertex angle.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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The two guy wires supporting a tower form an isosceles triangle with the ground.
Each of the base angles of the triangle is 7 times the third angle (the vertex angle).
Find the measure of the vertex angle.
:
let A = the vertex angle
then
7A = the base angles
:
7A + 7A + A = 180
15A = 180
A = 180/15
A = 12 degrees is the vertex angle