Circle Theorem... | Mathematics | Page 1

slate shuttle Oct 17, 2024, 5:06 PM

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I need help on b part

edgy rivetBOT Oct 17, 2024, 5:06 PM

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slate shuttle Oct 17, 2024, 5:06 PM

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a I got 32 degrees.

knotty cargo Oct 17, 2024, 5:10 PM

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slate shuttle a I got 32 degrees.

Nope. ∠AOC=180-32.
So its reflex is 360-(180-32).
And ∠ABC is half of that.

slate shuttle Oct 17, 2024, 5:12 PM

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Would you possibly be able to explain it to me, I just started to learn harder circle theorem.

knotty cargo Oct 17, 2024, 5:13 PM

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Do you agree with that ∠AOC=180-32?

slate shuttle Oct 17, 2024, 5:13 PM

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Yes, is it because of alternative segment?

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knotty cargo Oct 17, 2024, 5:14 PM

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yes, this is because of parallel BA||CO

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ok, what is reflex?

slate shuttle Oct 17, 2024, 5:15 PM

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I am not sure...

knotty cargo Oct 17, 2024, 5:15 PM

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slate shuttle Oct 17, 2024, 5:15 PM

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I see.

knotty cargo Oct 17, 2024, 5:16 PM

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So what is the answer to a)?

slate shuttle Oct 17, 2024, 5:16 PM

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180-32 = 148.

knotty cargo Oct 17, 2024, 5:17 PM

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nope. it is just angle AOC. But you need a reflex

slate shuttle Oct 17, 2024, 5:17 PM

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Oh it is asking for reflex.

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It'd be 360-148?

knotty cargo Oct 17, 2024, 5:17 PM

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sure

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so, for (b) apply your circle theorem

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As ∠ABC is just half of that reflex.

2024-10-17_20_18_45-Circle_Theorems_-_GCSE_Maths_-_Steps_Examples__Worksheet_Mozilla_Firefox.png

slate shuttle Oct 17, 2024, 5:21 PM

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I wrote angle OBA = 32 degrees.

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And we are trying to find <ABC

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Centrr is twice the angle at circumference.

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Oh wait

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Is it 106 degrees because 212/2

knotty cargo Oct 17, 2024, 5:23 PM

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sure

#Circle Theorem...