Question

find the value of s that makes quadrilateral hijk a parallelogram.
k
( s + 29^circ )
( s + 93^circ )
( 2s )
i
( s = square^circ )
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work it out
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find missing angles in quadrilaterals (83)
properties of parallelogram

Explanation:

Step1: Use parallelogram angle property

In a parallelogram, consecutive angles are supplementary (sum to $180^\circ$). We pair $\angle K$ and $\angle J$:
$$(s+29^\circ) + (s+93^\circ) = 180^\circ$$

Step2: Simplify the equation

Combine like terms:
$$2s + 122^\circ = 180^\circ$$

Step3: Isolate the variable term

Subtract $122^\circ$ from both sides:
$$2s = 180^\circ - 122^\circ$$
$$2s = 58^\circ$$

Step4: Solve for $s$

Divide both sides by 2:
$$s = \frac{58^\circ}{2}$$

Answer:

$29$