Find the measure of minor arc QN.
M
0
K
IN
38
Р
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Answer:
142°
Step-by-step explanation:
Minor arc QN = m(MN) + m(QM)
n(MN) = m<MKN = 90° (central angle = measure of intercepted arc)
m(NO) = m<NKO = 38° (measure of intercepted arcs)
m(QM) = 180° - (m(MN) + m(NO)) (half circle)
Substitute
m(QM) = 180° - (90° + 38°)
m(QM) = 52°
✔️Minor arc QN = m(MN) + m(QM)
Substitute
Minor arc QN = 90° + 52° = 142°