what is $m\widehat{pq}$?

what is $m\angle pqr$?

Question

what is $m\widehat{pq}$?

what is $m\angle pqr$?

Accepted Answer

{ "quality": "clear", "question_count": 2, "skills_matched": [ "step_cot", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Arc Measure in Circles", "Tangent-Secant Angle" ], "new_concepts": [], "current_concepts": [ "Arc Measure in Circles", "Tangent-Secant Angle" ] } ## Calculate the measure of minor arc PQ $$ \begin{aligned} m\widehat{PQ} &= 360^\circ - 290^\circ \ m\widehat{PQ} &= 70^\circ \end{aligned} $$ ## Calculate the measure of angle PQR $$ \begin{aligned} m\angle PQR &= \frac{1}{2} \cdot m\widehat{PQ} \ m\angle PQR &= \frac{1}{2} \cdot 70^\circ \ m\angle PQR &= 35^\circ \end{aligned} $$ ## Question 1 What is $m\widehat{PQ}$? 70$^\circ$ ## Question 2 What is $m\angle PQR$? 35$^\circ$ { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Geometry", "Tangent-Secant Angle" ] }

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Question

Explanation:

Calculate the measure of minor arc PQ

Calculate the measure of angle PQR

Answer:

Question 1

Question 2