Question

Can somebody please help

Answer 1

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.