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Mathematics 15 Online
OpenStudy (anonymous):

Help please! ill reward a fan and medal! Question is below!

OpenStudy (anonymous):

OpenStudy (ankit042):

OA=OB ( Think..why?) angles opposite to equal sides are equal Now you can solve :)

OpenStudy (anonymous):

still confused...

OpenStudy (anonymous):

trying to find the angle, not the segment.

OpenStudy (ankit042):

which part?

OpenStudy (anonymous):

can you go over it?

OpenStudy (anonymous):

because you gave OA=OB, angles need 3 points....

OpenStudy (ankit042):

I was talking about the side OA and OB they are equal in length

OpenStudy (anonymous):

does that mean theyre equal angles?

OpenStudy (ankit042):

Yes! angles opposite to equal sides in a triangle are equal

OpenStudy (ankit042):

Did you figure out why OA=OB?

OpenStudy (anonymous):

i got 53.5 for the angles.

OpenStudy (anonymous):

and no.

OpenStudy (anonymous):

and that answer is on my question, is that correct ???

OpenStudy (anonymous):

ankit?

OpenStudy (anonymous):

no rewarding without a conclusion...

OpenStudy (anonymous):

@jim_thompson5910

OpenStudy (calculusfunctions):

We have a circle with center at O, and diameter AC. We have arc AB and arc AC. Arc AB is 73° because it is subtended by the central angle AOB. Since the diameter is a straight angle, ∠AOB + ∠COB = 180°. Thus ∠COB = 107°, since ∠AOB = 73°. This implies that arc BC is 107°. One of the properties, is that an inscribed angle is exactly one-half of the central angle iff both the inscribed angle and the central angle are subtended by the same arc. If you observe, you notice that the inscribed angle ∠CAB and the central angle ∠COB are both subtended by arc BC. Thus by the theorem stated above, ∠CAB must be exactly one-half of ∠COB. half of 107 is 53.5. Therefore ∠CAB is 53.5°

OpenStudy (anonymous):

calculas, youre amazing. thanks. i might have a few more questions. May you help me?

OpenStudy (calculusfunctions):

Yes I may.

OpenStudy (calculusfunctions):

But only if you spell calculus correctly. LOL

OpenStudy (anonymous):

OH! Calculus!

OpenStudy (calculusfunctions):

Very Good!

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