SOLUTION: in isosceles triangle BIG the measure of the vertex angle is twice the measure of one of the base angles classify BIG completely

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Question 1058557: in isosceles triangle BIG the measure of the vertex angle is twice the measure of one of the base angles classify BIG completely
Answer by solve_for_x(190) About Me  (Show Source):
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Let x represent the measure of one of the base angles. The other
base angle is also represented by x.

Since the vertex angle is twice the base angle, this angle is represented
by 2x.

The sum of the three angles must be 180 degrees:

x + x + 2x = 180

4x = 180

x = 45

Thus, each of the base angles is 45 degrees, and the vertex angle is
2(45) = 90.

The triangle must be a 45-45-90 right triangle then.