Question

the vertex angle of an isosceles triangle measure eight times the measure of a base angle. Find the measure of a base angle.
A.18
B.24
C.36
D.43

Answer 1

so the base angles are equal in their angle measurement and the vertex angle is different.

let's assume that the base angles are x
the vertex angle is 8x because it's "eight times the measure of a base angle"

since there's two base angles, it's two x's and since there's one vertex angle it's going to be only one 8x

we also know that every triangle has a total angle measurement of 180 degrees

using those information, we can derive the equation as
x + x + 8x = 180

now you need to solve for x.

Answer 2

@hannahduhe did you get the answer?

Answer 3

is it 24

Answer 4

And so, Hannah, how are you going to check your answer? Think about that.