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The circle below has center H. suppose mIJ=84. What is mIGL

The circle below has center H. suppose mIJ=84. What is mIGL-example-1

1 Answer

5 votes

Answer:

m∠IGJ = 42°

Explanation:

It's given in the question,

m(arc IJ) = 84°

And we have to get the measure of ∠IGJ.

By using the property of inscribed angle and the intercepted arc.

"Measure of an inscribed angle is half of the measure of intercepted arc"

m(arc IJ) = 2(m∠IGJ)

84° = 2(m∠IGJ)

m∠IGJ = 42°

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