Answered

At Westonci.ca, we provide reliable answers to your questions from a community of experts. Start exploring today! Ask your questions and receive precise answers from experienced professionals across different disciplines. Discover detailed answers to your questions from a wide network of experts on our comprehensive Q&A platform.

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°

Thanks for using our platform. We aim to provide accurate and up-to-date answers to all your queries. Come back soon. Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. Thank you for using Westonci.ca. Come back for more in-depth answers to all your queries.