Question

1. determine the value of x.

equiangular
4x + 2
60°
6x - 30
60
60

Explanation:

Step1: Set up the equation

Since the two sides \(4x + 2\) and \(6x - 30\) are equal (equilateral triangle properties), we have the equation \(4x+2=6x - 30\).

Step2: Solve for \(x\)

Subtract \(4x\) from both sides: \(2=6x-4x - 30\), which simplifies to \(2 = 2x-30\).
Add \(30\) to both sides: \(2 + 30=2x\), so \(32 = 2x\).
Divide both sides by \(2\): \(x=\frac{32}{2}\).

Answer:

\(x = 16\)