Question

what is the value of v?
(v - 11)° (v + 4)° (v + 41)°
v = °
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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:
$$v+41^\circ = (v-11^\circ) + (v+4^\circ)$$

Step2: Simplify right-hand side

Combine like terms on the right:
$$v+41^\circ = 2v -7^\circ$$

Step3: Solve for v

Rearrange terms to isolate $v$:
$$41^\circ +7^\circ = 2v -v$$
$$48^\circ = v$$

Answer:

$48$