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Study the diagram of circle O.
The measure of arc JK is 77º and mZHOI = 44º.
46
J
77°
H
1
449
K
© 2016 Strong Mind. Created using GeoGebra
If mIJ = 46°, what is the measure of angle HOK?

Study The Diagram Of Circle O The Measure Of Arc JK Is 77º And MZHOI 44º 46 J 77 H 1 449 K 2016 Strong Mind Created Using GeoGebra If MIJ 46 What Is The Measure class=

Sagot :

Answer:

∠ HOK = 167°

Step-by-step explanation:

The central angle is equal to the measure of the arc that subtends it , so

∠ IOJ = arc IJ = 46°

∠ LOK = arc JK = 77°

Then

∠ HOK = ∠ HOI + ∠ IOJ + ∠ LOK = 44° + 46° + 77° = 167°

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