Question

In circle H with the measure of minor arc arc, G, J, equals, 30, degrees, comma
GJ
⌢
=30
∘
, find m, angle, G, K, J, .m∠GKJ.
G
J
H
K
Answer
Attempt 1 out of 2

m, angle, G, K, J, equalsm∠GKJ=

Answer 1

m∠GKJ = 15°

Reason: ∠GKJ is an inscribed angle that intercepts minor arc GJ. An inscribed angle measures half its intercepted arc, so m∠GKJ = 1/2 · m(arc GJ) = 1/2 · 30° = 15°.