Question

find the value of s that makes quadrilateral uvwx a parallelogram.
w
2s - 54°
3s - 36° v
x
s
u
s = □°
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Explanation:

Step1: Use parallelogram angle property

In a parallelogram, consecutive angles are supplementary, so $\angle W + \angle V = 180^\circ$.
Substitute the given angles:
$$(2s - 54^\circ) + (3s - 36^\circ) = 180^\circ$$

Step2: Simplify the equation

Combine like terms:
$$5s - 90^\circ = 180^\circ$$

Step3: Solve for $s$

Isolate $5s$, then divide by 5:
$$5s = 180^\circ + 90^\circ = 270^\circ$$
$$s = \frac{270^\circ}{5} = 54^\circ$$

Answer:

$54$