Question

determine the value of \\(x\\) for this equilateral triangle.

\\((2x - 13)^\circ\\)

\\(x = \frac{73}{2}\\)
\\(x = \frac{13}{2}\\)
\\(x = 11\\)
\\(x = 60\\)

Explanation:

Identify equilateral triangle properties

$$ \text{An equilateral triangle has three equal interior angles, each measuring } 60^\circ. $$

Set up the equation for x

$$ 2x - 13 = 60 $$

Solve the linear equation

$$
LATEXBLOCK0
$$

Answer:

• (A) \(x = \frac{73}{2}\) (Correct answer)
• (B) \(x = \frac{13}{2}\)
• (C) \(x = 11\)
• (D) \(x = 60\)