figure jklm is a kite. what is the measure of angle k? \$102^\\circ\$…

QUESTION IMAGE

$figure jklm is a kite. what is the measure of angle k? \$102^\\circ\$…$

Question

figure jklm is a kite.
what is the measure of angle k?
\$102^\circ\$
\$118^\circ\$
\$134^\circ\$
\$156^\circ\$

Explanation:

Response

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"concepts_used": [
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Identify the properties of the kite

Using the Kite Properties knowledge point
\[
\angle K \cong \angle M \implies m\angle K = m\angle M = 118^\circ
\]

Verify using the quadrilateral angle sum

Using the Quadrilateral Angle Sum knowledge point
\[

\begin{aligned} m\angle J + m\angle K + m\angle L + m\angle M &= 360^\circ \\ 78^\circ + 118^\circ + 46^\circ + 118^\circ &= 360^\circ \\ 360^\circ &= 360^\circ \end{aligned}

\]
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Answer: