SOLUTION: In triangle ABC, AB = BC. if mA =8x and mC = (3x+50) what is mA?

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Question 1113589: In triangle ABC, AB = BC. if mA =8x and mC = (3x+50) what is mA?
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
If AB = BC, triangle ABC is isosceles,
with congruent angles at A and C,
meaning that those angles have the same measure.
If the measures of those angles, in degrees, are 8x and 3x%2B50 .
then 8x=3x%2B50 .

Solving that equation:
8x=3x%2B50
8x-3x=3x%2B50-3x
5x=50
x=10 .

So the measure of angle A, in degrees, is
8x=8%2A10-80 .
Angle A measures highlight%2880%5Eo%29 .
Angle C has the same measure,
and angle B measures
180%5Eo-2%2880%5Eo%29=180%5Eo-160%5Eo=20%5Eo .