Question

what is the value of v?

Explanation:

Step1: Find triangle's third angle

The third interior angle of the triangle is supplementary to $v$, so it equals $180^\circ - v$.

Step2: Apply triangle angle sum rule

The sum of angles in a triangle is $180^\circ$. Set up the equation:
$$(v-47^\circ) + (v-48^\circ) + (180^\circ - v) = 180^\circ$$

Step3: Simplify and solve for $v$

Combine like terms and isolate $v$:
$$v - 47^\circ - 48^\circ + 180^\circ = 180^\circ$$
$$v + 85^\circ = 180^\circ$$
$$v = 180^\circ - 85^\circ$$

Answer:

$95^\circ$