Math, asked by Sagittarius29, 1 year ago

In the fig. angle ADC = 130° and chord BC= chord BE. Find angle CBE.

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Sagittarius29: please be fast
Sagittarius29: I need it urgently
Eshita2416: Is there any more specifications about the question.......like if o is the centre or AB is the diameter?
Sagittarius29: no, the centre is not goven in this question
Sagittarius29: neither the diameter
Sagittarius29: *given
Eshita2416: Okayy

Answers

Answered by deepak70
499
in triangle BCO and B0E
CO = OE (radii of same circle)
bo = bo ( common)
BC = BE(given)
so by SSS congruence rule
triangle BCO is congruent to triangle BOE
BY CPCT
angle CBO = angle OBE ( eqn 1)
since abcd is a cyclic quad.
therefore angle D + angle B = 180
130 + angle B = 180
angle B = 50 degree
angle CBO + angle OBE = angle CBE
BUt angle cbo = angle OBE
therefore 50 + 50 = angle CBE
angle CBE = 100 degree
donot forget to make it brainlist answer.

Eshita2416: We have to solve this question using o as a centre.....
deepak70: is it correct?
Eshita2416: I had exempler of 9th the solution has been made taking o as the centre
deepak70: konsa wala question?
Sagittarius29: I saw it on the website, yes you are right Eshita2416 and Deepak70
Sagittarius29: The solution is done using O as the centre
Sagittarius29: Sorry for the inconvenience actually in my book it i not specified, so I thought....
Sagittarius29: Please don't mind
Sagittarius29: *is
deepak70: np..
Answered by RituDagar
164
ABCD is cyclic quadrilateral.
Angle ADC + Angle CBA= 180



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Thanks..
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