Question

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

Step1: Use linear pair property

$x+47^\circ + s-33^\circ = 180^\circ$
Simplify: $x + s + 14^\circ = 180^\circ$ → $x + s = 166^\circ$ → Equation (1)

Step2: Use exterior angle theorem

$s-33^\circ = x + x+1^\circ$
Simplify: $s-33^\circ = 2x + 1^\circ$ → $s - 2x = 34^\circ$ → Equation (2)

Step3: Solve the system of equations

From Equation (1): $x = 166^\circ - s$
Substitute into Equation (2):
$s - 2(166^\circ - s) = 34^\circ$
$s - 332^\circ + 2s = 34^\circ$
$3s = 34^\circ + 332^\circ$
$3s = 366^\circ$

Step4: Calculate s

$s = \frac{366^\circ}{3}$

Answer:

$122^\circ$