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Find the measure of minor arc QN.
M
0
K
IN
38
Р

Find the measure of minor arc QN. M 0 K IN 38 Р-example-1

1 Answer

2 votes

Answer:

142°

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°

User Gavrie
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