what is $m\angle r$?
what is $m\angle b$?
what is $m\widehat{er}$?

Question

Accepted Answer

{ "quality": "clear", "question_count": 3, "skills_matched": [ "step_cot", "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", "Arc Measure in Circles" ] } ## Calculate the measure of angle R $$ \begin{aligned} &m\angle R + m\angle E = 180^\circ \ &m\angle R + 74^\circ = 180^\circ \ &m\angle R = 106^\circ \end{aligned} $$ ## Calculate the measure of angle B $$ \begin{aligned} &m\angle B + m\angle A = 180^\circ \ &m\angle B + 92^\circ = 180^\circ \ &m\angle B = 88^\circ \end{aligned} $$ ## Calculate the measure of arc ER $$ \begin{aligned} &m\widehat{ER} = 2 \cdot m\angle B \ &m\widehat{ER} = 2 \cdot 88^\circ = 176^\circ \end{aligned} $$ ## Question 1 What is $m\angle R$? 106$^\circ$ ## Question 2 What is $m\angle B$? 88$^\circ$ ## Question 3 What is $m\widehat{ER}$? 176$^\circ$ { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Geometry", "Inscribed Quadrilateral Theorem" ] }

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Question

Explanation:

Calculate the measure of angle R

Calculate the measure of angle B

Calculate the measure of arc ER

Answer:

Question 1

Question 2

Question 3