Maths question circle theorems?

A~B~O when written without the '~' characters is an abbreviation for (Australian) Aboriginal, and this abbreviation is pretty much universally accepted as being a derogatory term. In geometry discussions, it won't be censored out if you reverse the letters to 'OBA'.

I have spoken

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You are right. Angle ABP = (180-86)/2 = 47 degrees and therefore angle ABO = 90-47=43 degrees

provided that RCT is a tangent to the circle and and the radius continuously meets a tangent at a ideal attitude. Therefor RCB + 36 might desire to upload to ninety, meaning RCB = fifty 4. BADC is a cyclic quadrilateral because of the fact all 4 corners touch the circle. In this sort of shape, the different corners might desire to upload to one hundred eighty, so D is one hundred forty four, so the attitude at ABC + one hundred forty four = one hundred eighty, consequently ABC = 36. the attitude subtended on the circumference of the circle is a million/2 that of the attitude on the middle, so AOC = seventy two. via the exchange section theorem, CAD = 23, comparable to DCT, so ACD = 13 as they might desire to upload to one hundred eighty to sort that triangle. additionally via the exchange section theorem, ACR = one hundred forty four, making OCA = fifty 4 provided that OCR is ninety. Now OAD + one hundred forty four + 13 + fifty 4 + seventy two might desire to be 360 to make a quadrilateral, meaning that OAD = 77. wish this all helps