Question

what is the value of v?
6v+11°
v+47°
45°
write your answer as an integer or as a decimal rounded to the nearest tenth.
v = °
submit

Explanation:

Step1: Use exterior angle theorem

The exterior angle of a triangle equals the sum of the two opposite interior angles, so:
$$6v + 11 = (v + 47) + 45$$

Step2: Simplify right-hand side

Combine the constant terms:
$$6v + 11 = v + 92$$

Step3: Isolate variable terms

Subtract $v$ from both sides:
$$5v + 11 = 92$$

Step4: Isolate the variable term

Subtract 11 from both sides:
$$5v = 81$$

Step5: Solve for v

Divide both sides by 5:
$$v = \frac{81}{5}$$

Answer:

$16.2$