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Mathematics 17 Online
OpenStudy (anonymous):

Please find my question attached.

OpenStudy (anonymous):

OpenStudy (anonymous):

hmm which of the figure is your question?

OpenStudy (anonymous):

10

OpenStudy (anonymous):

d is half of 88 I guess... and c is (180-88)/2

OpenStudy (anonymous):

I thought 88 too, but it is not correct.

OpenStudy (callisto):

Yes... d = 88/2 = 44 ( angle at centre, twice angle at circumference) OA = OB (radii) => triangle OAB = isos. triangle. angle A = angle B ( base angle, isos. triangle) = (180 - 88) /2 ( angle sum of triangle)

OpenStudy (callisto):

@Hollywood_chrissy @serychj typed ''half of 88 '' ... = 88/2 :S

OpenStudy (anonymous):

huh?

OpenStudy (callisto):

Hmm.. what do you mean?

OpenStudy (anonymous):

half of 88 is 44 and that is correct.

OpenStudy (anonymous):

@Callisto what you described in your post was the arrow theorem right?

OpenStudy (callisto):

http://www.benjamin-mills.com/maths/Year11/circle-theorems-proof.pdf See page 2 ... the bottom...

OpenStudy (anonymous):

Yeah that is what my teacher called the arrow theorem. But forgive me, what I posted does not look like that.

OpenStudy (anonymous):

Angles in the segment, on page 3

OpenStudy (callisto):

Nope... angles in the same segment => both angles are formed on the circumference,

OpenStudy (callisto):

|dw:1336486723926:dw| x = y

OpenStudy (callisto):

|dw:1336486778505:dw| angle x is formed at the centre. x = 2y ( angle at centre, twice angle at circumference)

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