Question

the diagram shows a convex polygon.
what is the value of \\(v\\)?
\\(v = \\)

Explanation:

Identify the given angles of the triangle

The diagram shows a triangle with three interior angles:

• Top angle: \(5v^\circ\)
• Bottom-left angle: \(2v^\circ\) (indicated by the label \(2v\) near the corner)
• Bottom-right angle: \(43^\circ\)

Set up the angle sum equation

The sum of the interior angles of any triangle is always \(180^\circ\).

$$ 5v + 2v + 43 = 180 $$

Solve for v

Combine the like terms and solve the linear equation:

$$
LATEXBLOCK0
$$

Answer:

What is the value of \(v\)?
\(v =\) <blank>\(\frac{137}{7}\)</blank>