SOLUTION: I need help with this problem please! Two guy wires running from the top of the telephone pole down to the ground form an isosceles triangle. One of the two equal angles of the t

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Question 67951: I need help with this problem please! Two guy wires running from the top of the telephone pole down to the ground form an isosceles triangle. One of the two equal angles of the triangle is seven times the third angle (the vertex angle). Find the measure of the vertex angle. Thanks for any help!
Answer by stanbon(29602) About Me  (Show Source):
You can put this solution on YOUR website!
Draw the picture of the isosceles triangle.
The two equal angles are each 7x and the vertex angle is x.
The sum of the angles of a trianble = 180 degrees
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EQUATION:
7x+7x+x=180
15x=180
x=12 degrees
The vertex angle = 12 degrees
Each of the base angles is 7x= 84 degrees.
Cheers,
Stan H.