the circle below has center $z$. suppose that $m \widehat{xy} = 122^\circ$. find the following.

(a) $m \angle xzy = \box^\circ$
(b) $m \angle xwy = \box^\circ$

Question

the circle below has center $z$. suppose that $m \widehat{xy} = 122^\circ$. find the following.

(a) $m \angle xzy = \box^\circ$
(b) $m \angle xwy = \box^\circ$

Accepted Answer

{ "quality": "clear", "question_count": 2, "skills_matched": [ "step_cot", "blank_filling_formatter", "explain_then_answer", "tutor", "mastery_adaptive_brevity" ], "needs_drawing": false, "concepts_used": [ "Central Angle", "Inscribed Angle Theorem" ], "new_concepts": [], "current_concepts": [ "Central Angle", "Inscribed Angle Theorem" ] } ## Find the measure of the central angle Using the *Central Angle* knowledge point $$ m\angle XZY = m\widehat{XY} = 122^\circ $$ ## Find the measure of the inscribed angle Using the *Inscribed Angle Theorem* knowledge point $$ m\angle XWY = \frac{1}{2} m\widehat{XY} = \frac{1}{2} \cdot 122^\circ = 61^\circ $$ The circle below has center $Z$. Suppose that $m\widehat{XY} = 122^\circ$. Find the following. (a) $m\angle XZY =$ $122$$^\circ$ (b) $m\angle XWY =$ $61$$^\circ$ { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Geometry", "Inscribed Angle Theorem" ] }

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QUESTION IMAGE

Question

Explanation:

Find the measure of the central angle

Find the measure of the inscribed angle

Answer: