Question

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

Answer 1

m arc AJ = 78°

Explanation:

If angle 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

edit: i think im right but im not completely sure

edit#2: i checked my answer portal after turning it in and yeah im right