Triangle ABC is isosceles with angle B congruent to angle C. The measure of angle C is five times the measure of angle A. What is the number of degrees in the measure of angle B?
Let's start by setting the measure of angle A as x.
That would make angle C 5x, and since angle B is congruent to angle C, angle B is 5x too.
Angle A = x
Angle B = 5x
Angle C = 5x
The sum of the angles in a triangle is 180.
So Angle A + Angle B + Angle C = 180.
x + 5x + 5x = 180
11x = 180
x = 180/11
Since we're looking for Angle B, we just do 180/11*5 = 900/11
I hope this helped :))))