what is $m\angle d$?
what is $m\angle q$?
what is $m\widehat{ud}$?

Question

Accepted Answer

{ "quality": "clear", "question_count": 3, "skills_matched": [ "step_cot", "table_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Inscribed Quadrilateral Theorem", "Inscribed Angle Theorem" ], "new_concepts": [], "current_concepts": [ "Inscribed Quadrilateral Theorem", "Inscribed Angle Theorem" ] } ## Find the measure of angle D $$ \begin{aligned} &m\angle D + m\angle U = 180^\circ \ &m\angle D + 106^\circ = 180^\circ \ &m\angle D = 74^\circ \end{aligned} $$ ## Find the measure of angle Q $$ \begin{aligned} &m\angle Q + m\angle A = 180^\circ \ &m\angle Q + 96^\circ = 180^\circ \ &m\angle Q = 84^\circ \end{aligned} $$ ## Find the measure of arc UD $$ \begin{aligned} &m\widehat{UD} = 2 \cdot m\angle Q \ &m\widehat{UD} = 2 \cdot 84^\circ \ &m\widehat{UD} = 168^\circ \end{aligned} $$ | No. | Problem | Answer | |---|---|---| | 1 | What is $m\angle D$? | $74^\circ$ | | 2 | What is $m\angle Q$? | $84^\circ$ | | 3 | What is $m\widehat{UD}$? | $168^\circ$ | { "subject": "Mathematics", "question_type": "Multi-part", "knowledge_point": [ "Mathematics", "Geometry", "Inscribed Quadrilateral Theorem" ] }

No.	Problem	Answer
2	What is \(m\angle Q\)?	\(84^\circ\)
3	What is \(m\widehat{UD}\)?	\(168^\circ\)

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QUESTION IMAGE

Question

Explanation:

Find the measure of angle D

Find the measure of angle Q

Find the measure of arc UD

Answer: