Question

3 the triangle below is an equilateral triangle, one angle measures $7x - 52$. what is $x$?
a $x = 16$
b $x = 6.5$
c $x = 46$
d $x = 60$

Explanation:

Step1: Recall the property of an equilateral triangle

In an equilateral triangle, each angle measures \(60^{\circ}\). So, we set up the equation \(7x - 52=60\).

Step2: Solve the equation for \(x\)

Add \(52\) to both sides of the equation:
\(7x-52 + 52=60 + 52\)
\(7x=112\)
Divide both sides by \(7\):
\(x=\frac{112}{7}\)
\(x = 16\)

Answer:

A. \(x = 16\)