Answer:
The vertex angle = 28 degrees.
Each of the base angles = 76 degrees.
Step-by-step explanation:
The 2 base angles of an isosceles triangle are equal.
The relation between the vertex angle and one of the base angles is as follows:
2x + y = 180 where x = the measure of a base angle and y = the measure of the vertex angle.
Also, from the information given in the question:
x = 3y - 8
so we have the system of equations:
2x + y = 180........(1)
x - 3y = -8...........(2)
Multiply equation (2) by -2:
-2x + 6y = 16......(3)
Adding (1) and (3):
7y = 196
y = 28.
Substituting for y in equation (2):
x - 3(28) = -8
x = -8 + 84
x = 76.
