Question

what is the value of s?
44°
5s+34°
s+50°
s =
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solve linear equations: mixed review (36)

Explanation:

Step1: Apply exterior angle theorem

The exterior angle of a triangle equals the sum of the two non-adjacent interior angles, so:
$5s + 34^\circ = 44^\circ + s + 50^\circ$

Step2: Simplify right-hand side

Combine the constant terms:
$5s + 34^\circ = s + 94^\circ$

Step3: Isolate s terms

Subtract $s$ from both sides:
$4s + 34^\circ = 94^\circ$

Step4: Isolate constant terms

Subtract $34^\circ$ from both sides:
$4s = 60^\circ$

Step5: Solve for s

Divide both sides by 4:
$s = \frac{60^\circ}{4}$

Answer:

$s = 15^\circ$