Question

what is the value of v?
v+49°
6v+5°
13v

Explanation:

Step1: Use exterior angle theorem

The exterior angle of a triangle equals the sum of the two non-adjacent interior angles, so:
$$13v = (v + 49) + (6v + 5)$$

Step2: Simplify right-hand side

Combine like terms:
$$13v = 7v + 54$$

Step3: Isolate variable term

Subtract $7v$ from both sides:
$$13v - 7v = 54$$
$$6v = 54$$

Step4: Solve for v

Divide both sides by 6:
$$v = \frac{54}{6}$$

Answer:

$9$