Question

what is the value of v?

Explanation:

Step1: Apply exterior - angle theorem

The exterior - angle of a triangle is equal to the sum of the two non - adjacent interior angles. So, $v=(v - 39^{\circ})+(v - 47^{\circ})$.

Step2: Simplify the equation

Expand the right - hand side: $v=v - 39^{\circ}+v - 47^{\circ}$. Combine like terms: $v = 2v-86^{\circ}$.

Step3: Solve for $v$

Subtract $v$ from both sides: $0=2v - v-86^{\circ}$. Then $v = 86^{\circ}$.

Answer:

$86^{\circ}$