Question

what is the value of v?
v = \square^\circ
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Explanation:

Step1: Use exterior angle theorem

The exterior angle of a triangle equals the sum of the two non-adjacent interior angles, so:
$$v+45^\circ = (v-43^\circ) + v$$

Step2: Simplify the equation

Combine like terms on the right side:
$$v+45^\circ = 2v - 43^\circ$$

Step3: Solve for $v$

Subtract $v$ from both sides, then add $43^\circ$ to both sides:
$$45^\circ + 43^\circ = 2v - v$$
$$88^\circ = v$$

Answer:

$88$