Question

koih ≅ vwxu. what is m∠i?

Explanation:

Step1: Recall congruent polygon properties

Congruent polygons have matching angles equal, and the sum of interior angles of a quadrilateral is $360^\circ$.

Step2: Identify corresponding angles

From $KJIH \cong VWXU$, $\angle I$ corresponds to $\angle W$.

Step3: Verify with angle sum check

Calculate the missing angle in $VWXU$:
$m\angle W = 360^\circ - (98^\circ + 52^\circ + 107^\circ)$
$= 360^\circ - 257^\circ$
$= 103^\circ$
Since corresponding angles of congruent quadrilaterals are equal, $m\angle I = m\angle W$.

Answer:

$103^\circ$