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Line GJ is tangent to point A at point G.

Line GJ is tangent to point A at point G.-example-1

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The angle formed by the intersection of tangent and secant outside the circle equals half the difference of the intercepted arcs.


m \angle CJG = \cfrac{arc \ CBG - arc \ DEG}{2}= \cfrac{124-76}{2}= 24^o
User Evan Laforge
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m<CJG = 1/2(124 - 76)
m<CJG =1/2(48)
m<CJG = = 24

answer
m<CJG = 24