the circle below has center $m$. suppose that $m \widehat{kl} = 114^\circ$. find the following.

(a) $m \angle kml = \box^\circ$
(b) $m \angle kjl = \box^\circ$

Question

the circle below has center $m$. suppose that $m \widehat{kl} = 114^\circ$. find the following.

(a) $m \angle kml = \box^\circ$
(b) $m \angle kjl = \box^\circ$

Accepted Answer

{ "quality": "clear", "question_count": 2, "skills_matched": [ "step_cot", "explain_then_answer", "tutor", "mastery_adaptive_brevity" ], "needs_drawing": false, "concepts_used": [ "Central Angle" ], "new_concepts": [ "Inscribed Angle Theorem" ], "current_concepts": [ "Central Angle", "Inscribed Angle Theorem" ] } ## Find the measure of central angle KML Using the *Central Angle* knowledge point $$ m\angle KML = m\widehat{KL} = 114^\circ $$ ## Find the measure of inscribed angle KJL The measure of an inscribed angle is half the measure of its intercepted arc. $$ m\angle KJL = \frac{1}{2} m\widehat{KL} = \frac{1}{2} (114^\circ) = 57^\circ $$ ## Question 1 (a) $m\angle KML = 114^\circ$ ## Question 2 (b) $m\angle KJL = 57^\circ$ { "subject": "Mathematics", "question_type": "Multi-part", "knowledge_point": [ "Mathematics", "Geometry", "Inscribed Angle Theorem" ] }

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QUESTION IMAGE

Question

Explanation:

Find the measure of central angle KML

Find the measure of inscribed angle KJL

Answer:

Question 1

Question 2