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if $\\triangle abc$ is equilateral, find $x$. a $x = 28$ b $x = 16.75$ …

Question

if $\triangle abc$ is equilateral, find $x$.
a $x = 28$
b $x = 16.75$
c $x = 13$
d $x = 2$

Explanation:

Step1: Recall the property of an equilateral triangle

All angles in an equilateral triangle are \(60^{\circ}\). So, \(8x - 44=60\).

Step2: Solve the equation for \(x\)

Add \(44\) to both sides of the equation: \(8x=60 + 44\), which simplifies to \(8x=104\).
Divide both sides by \(8\): \(x=\frac{104}{8}=13\).

Answer:

C. \(x = 13\)