Respuesta :

ABC is a isosceles triangle
AC = BC
so
<A = <B
2x - 20 = x + 8. solve for x
subtract x to both sides
2x - 20 - x = x + 8 - x
x - 20 = 8
add 20 to both sides
x - 20 + 20 = 8 + 20
simplify
x = 28

<A = <B = 28 + 8 = 36
<C = 180 - 2(36)
<C = 180 - 72
<C = 108


Answer
B. 108 degrees

The answer would be 108 degrees because in an isosceles triangle, the two base angles are equal to each other.

So you would start off by setting 2x - 20 equal to x + 8. 

2x - 20 = x + 8
then solve for x
x = 28

Substitute x into either equation
28 + 8
solve
28 + 8 = 36

Both base angles are equal to 36. So take 180 and subtract 36 twice.
180 - 36 - 36
solve
180 - 36 - 36 = 108 degrees