the diagram shows a triangle. what is the value of v? v = □°

Explanation:

Step1: Recall angle - sum property of a triangle

The sum of the interior angles of a triangle is 180°. So, $(v - 16)+2v+37 = 180$.

Step2: Combine like - terms

Combine the v - terms and the constant terms: $(v+2v)+(-16 + 37)=180$, which simplifies to $3v+21 = 180$.

Step3: Isolate the variable term

Subtract 21 from both sides of the equation: $3v+21-21=180 - 21$, resulting in $3v=159$.

Step4: Solve for v

Divide both sides of the equation by 3: $\frac{3v}{3}=\frac{159}{3}$, so $v = 53$.

Answer:

$53$