Question

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

Explanation:

Step1: Recall angle - sum property

The sum of interior angles of a triangle is 180°. So, $(v + 6)+2v+(2v + 49)=180$.

Step2: Combine like - terms

Combine the v - terms and the constant terms: $(v+2v + 2v)+(6 + 49)=180$, which simplifies to $5v+55 = 180$.

Step3: Isolate the variable term

Subtract 55 from both sides of the equation: $5v=180 - 55$, so $5v=125$.

Step4: Solve for v

Divide both sides by 5: $v=\frac{125}{5}$.

Answer:

$25$