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

Question

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "tutor", "mastery_adaptive_brevity" ], "needs_drawing": false, "concepts_used": [ "Kite Properties", "Quadrilateral Angle Sum" ], "new_concepts": [], "current_concepts": [ "Kite Properties", "Quadrilateral Angle Sum" ] } ## 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 $$ \begin{aligned} m\angle J + m\angle K + m\angle L + m\angle M &= 360^\circ \ 78^\circ + 118^\circ + 46^\circ + 118^\circ &= 360^\circ \ 360^\circ &= 360^\circ \end{aligned} $$

(A) 102°

(B) 118°

(C) 134°

(D) 156°

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Geometry", "Kite Properties" ] }

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QUESTION IMAGE

Question

Explanation:

Identify the properties of the kite

Verify using the quadrilateral angle sum

Answer: