Question

Triangle $ABC$ is isosceles with angle $B$ congruent to angle $C$. The measure of angle $C$ is four times the measure of angle $A$. What is the number of degrees in the measure of angle $B$?

Answer 1

Answer:the number of degrees in the measure of angle B is 36 degrees

Step-by-step explanation:

Triangle $ABC$ is isosceles with angle $B$ congruent to angle $C$. This means that angle B is equal to angle C. Let x represent the size of angle B and angle C.

The measure of angle $C$ is four times the measure of angle $A$. This means that angle A = 4x

The sum of the angles in a triangle is 180 degrees. Therefore

x + x + 4x = 180

5x = 180

x = 180/5 = 36