Hey Brilliants! I found this question in my book. Q-CD is a direct common tangent to two circles intersecting each other at A and B. Then angle CAD + angle CBD is equal to what? The answer is 180°, Now what I wanna know is how the answer came 180°.

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TopNewestIts easy right asume ab intersect cd at x then bax equal to bcx – Reynan Henry · 2 years, 2 months ago

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– Dhaman Trivedi · 2 years, 2 months ago

I don't got it can you explain in brief?Log in to reply

– Reynan Henry · 2 years, 2 months ago

Sorry i cant use the latex hehe. But angle bca is equal to angle bcx (alternate segment theorem) so bca + bcx = 90 analog bad + bdx = 90. Add them allLog in to reply

Also, I doubt that BCA + BCX = 90, because that is equal to ACX, which is ACD, which is not 90.

You are on the right track, but you just need to ensure that what you write is what you are thinking. – Calvin Lin Staff · 2 years, 2 months ago

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– Dhaman Trivedi · 2 years, 2 months ago

Sir Calvin actually I do have the solution of this question, but there are some things where I just ask "Why it is happening" If you say I post my solution of book here and then you explain my Whys. ThanksLog in to reply

– Dhaman Trivedi · 2 years, 2 months ago

Oh! OK! Thanks Reynan! You cleared my big doubt. Sorry last question. I dont know much about theories so please tell about what is alternate segment theorem?Log in to reply

https://lh4.googleusercontent.com/proxy/EtyNHxDLxZTJK07Ycu6ZHDiCeLxmFMwHE3kovJnN

o1217WVMbaghfOKmQUaiwbYYc7kOwWPK6Wp-Y72DhT9AMMmlrtTPiNfKfme-U0AsmB6_BPXiGICzPabmPVrA=w266-h189-nc – Reynan Henry · 2 years, 2 months agoLog in to reply

– Dhaman Trivedi · 2 years, 2 months ago

Its not a clear link i cant open itLog in to reply

– Reynan Henry · 2 years, 2 months ago

Maybe this should help. https://youtu.be/nwOSsjLDACQLog in to reply

– Dhaman Trivedi · 2 years, 2 months ago

Ok thanks. Should i delete this note now? or see more answers?Log in to reply

Do u know that cbda is a kite? – A S · 2 years, 2 months ago

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– Dhaman Trivedi · 2 years, 2 months ago

I have the same question as Calvin SirLog in to reply

– Calvin Lin Staff · 2 years, 2 months ago

Can you explain why it is a kite? Are you assuming that the circles are congruent?Log in to reply

I happened to see this note and one question came to my mind after observing the figure: Are the two circles congruent? – Nihar Mahajan · 2 years, 2 months ago

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– Dhaman Trivedi · 2 years, 2 months ago

That's the problem what I wrote in question, That's all. I also thought the same but no....No where proved that those are congurentLog in to reply

– Reynan Henry · 2 years, 2 months ago

Even if the circles arent congruent. The sum is still 180Log in to reply

Good Question Brother, let me try this one! – Swapnil Das · 2 years, 2 months ago

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– Dhaman Trivedi · 2 years, 2 months ago

Swapnil Das I have given the solution given in book. Just tell me they Whys answerLog in to reply

– Swapnil Das · 2 years, 2 months ago

Ya, I just have to prove that the answer is 180.Log in to reply

– Dhaman Trivedi · 2 years, 2 months ago

This also that y ∠CAB=∠BCD...and∠DAB=∠CDB this tooLog in to reply

– Dhaman Trivedi · 2 years, 2 months ago

Waiting for your reply Swapnil.. Just tell me Why the answer is 180°.?Log in to reply

– Dhaman Trivedi · 2 years, 2 months ago

Waiting for your reply Swapnil.. Just tell me Why the answer is 180°Log in to reply