SOLUTION: An isosceles triangle is such that each of the base angle is twice the vertical angle.find the angle of the triangle

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Question 1085286: An isosceles triangle is such that each of the base angle is twice the vertical angle.find the angle of the triangle
Answer by MathLover1(20850) About Me  (Show Source):
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An isosceles triangle is such that each of the base angle is twice the vertical angle
let angles be A,B,and C where Aand B are the base angles, and C is the vertical angle
the base angles are congruent (because we have an isosceles triangle); so,
A=B
each of the base angle is twice the vertical angle; so,
A=2C
B=2C
as you already know, the sum of all angles in triangle is 180 degrees
A%2BB%2BC=180
2C%2B2C%2BC=180
5C=180
C=180%2F5
C=36->the vertical angle
and, the base angles will be
A=2C=72
B=2C=72