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The following figure shows a circle with centre O

Find the angle r .
A 153°
B 104°
C 76°
D 38°

Please help me to solve this . If you can solve it , can you explain it to me ? I had migraine solving this question . Thank you ​

The following figure shows a circle with centre O Find the angle r . A 153° B 104° C-example-1
User Rafik
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1 Answer

4 votes

Explanation:

This is tough! However, using a little bit of logic and playing around with formulas, we can solve this!

We know that an inscribed angle = (1/2) intercepted arc. The arc is directly correlated to the area with 16 degrees. Therefore, r=(1/2)(16)=8. An inscribed angle counts as long as its sides intersect the circle to form an intercepted arc, and this is not an option given, so I can understand why you're having trouble. I would recommend asking your teacher about this.

User Lazy Lion
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