right trapezoid wxyz is shown.
what is the measure of angle wxy?

73^
90^
107^
163^

Question

right trapezoid wxyz is shown.
what is the measure of angle wxy?

73^
90^
107^
163^

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": [ "Trapezoid Properties", "Quadrilateral Angle Sum" ], "new_concepts": [ "Consecutive Interior Angles" ], "current_concepts": [ "Trapezoid Properties", "Quadrilateral Angle Sum", "Consecutive Interior Angles" ] } ## Identify the given properties of the trapezoid Using the *Trapezoid Properties* knowledge point $$ \begin{aligned} &XY \parallel WZ\ &m\angle Y = 90^\circ\ &m\angle Z = 90^\circ\ &m\angle W = 73^\circ \end{aligned} $$ ## Calculate the measure of angle WXY Using the *Quadrilateral Angle Sum* knowledge point $$ \begin{aligned} &m\angle W + m\angle X + m\angle Y + m\angle Z = 360^\circ\ &73^\circ + m\angle WXY + 90^\circ + 90^\circ = 360^\circ\ &m\angle WXY + 253^\circ = 360^\circ\ &m\angle WXY = 360^\circ - 253^\circ = 107^\circ \end{aligned} $$

(A) $73^\circ$

(B) $90^\circ$

(C) $107^\circ$

(D) $163^\circ$

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

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QUESTION IMAGE

Question

Explanation:

Identify the given properties of the trapezoid

Calculate the measure of angle WXY

Answer: