Question

what are the values of v and s?
v = \square^\circ

s = \square^\circ

Explanation:

Step1: Use exterior angle theorem

The exterior angle of a triangle equals the sum of the two non-adjacent interior angles:
$$v+50^\circ = (v-25^\circ)+(v+18^\circ)$$

Step2: Simplify and solve for $v$

Expand and combine like terms:
$$v+50 = v-25+v+18$$
$$v+50 = 2v-7$$
$$50+7 = 2v-v$$
$$v = 57$$

Step3: Find $s$ using linear pair

$s$ and $v+50^\circ$ are supplementary:
$$s + (v+50^\circ) = 180^\circ$$
Substitute $v=57$:
$$s + (57+50) = 180$$
$$s + 107 = 180$$
$$s = 180-107$$
$$s = 73$$

Answer:

$v = 57^\circ$
$s = 73^\circ$