Jessica K.

asked • 05/27/19

Given: circle: k(O), m∠A = 101° m∠L = 79°, m LK = 122° Find: m AJ

Deborah T.

When you say "m LK = 122 degree", do you mean "m LK = 122 units"? Are you referring to the segment LK? Then are you referring to the segment AJ?
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05/27/19

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William W. answered • 05/27/19

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If angel A is 101° that means arc LKJ is 202° (the measure of an arc that an inscribed angle intercepts is twice the angle measure). If arc LKJ is 202° and arc LK is 122°, then arc KJ is 80° (m arc LK + m arc KJ = m arc LKJ).

If angle L is 79°, then the m arc AJK = 158° (the measure of an arc that an inscribed angle intercepts is twice the angle measure). If m arc AJK = 158° and m arc KJ is 80°, then the m arc AJ is 158 - 80 = 78º

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