Question

examples 3 and 4
. find the value of x.
(there is a triangle with vertex x, base zy. side xz is labeled 3x + 8, side xy has a tick mark, side xz has a tick mark, angle at x is 60°, base zy is labeled 4x - 4)

1. f

Explanation:

Step1: Identify triangle type

The triangle has two equal sides (marked with red lines) and a 60° angle, so it is equilateral. All sides are equal.

Step2: Set sides equal

$3x + 8 = 4x - 4$

Step3: Solve for x

Subtract $3x$ from both sides: $8 = x - 4$. Add 4 to both sides: $x = 12$.

Answer:

12