AABC is an isosceles triangle with vertex angle B, AB = 2x + 10, AC = 2x, and BC = 4x - 16. Determine the length of the base of the triangle.

Answers are
A.117 degrees
B.26 degrees
C.15 degrees
D.22 degrees

AC = 26 units

Step-by-step explanation:

Given that,

ABC is an isosceles triangle with vertex angle B such that,

AB = 2x + 10, AC = 2x,  and BC = 4x - 16

Two sides of an isosceles triangle are equal. It means that the angles corresponding to the same sides are equal. It means AB = BC

2x + 10 = 4x - 16

2x-4x = -10-16

-2x = -26

x = 13

AC is the base of the traingle.

AC = 2x

AC = 2(13)

AC = 26 units

So, the base of the triangle is equal to 26 units.