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ICSE Class 10 Answered

Question no..15 pls  
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Asked by amansss611 | 22 Sep, 2019, 11:29: PM
answered-by-expert Expert Answer
 
Join OA, OB, OC, OD and diagonal AC.
We know that,
Angle at the centre is twice the angle at remaining remaining circumference.
  begin mathsize 16px style rightwards double arrow angle BOC space equals space 2 angle BAC space space space space space space space space space space space space space space space.... space left parenthesis 1 right parenthesis rightwards double arrow angle AOD space equals space 2 angle ACD space space space space space space space space space space space space space space space.... space left parenthesis 2 right parenthesis end style
Since, AB || CD and AC is a transversal.
begin mathsize 16px style angle BAC space equals space angle ACD space space space space space space space space space space space space space space space left parenthesis alternate space angles right parenthesis space space space space space space space space.... space left parenthesis 3 right parenthesis From space left parenthesis 1 right parenthesis comma space left parenthesis 2 right parenthesis space and space left parenthesis 3 right parenthesis comma space we space get angle BOC space equals space angle AOD end style
→ AD = BC
Chords substending equal angles at the centre are equal.
Hence proved. 
Answered by Yasmeen Khan | 23 Sep, 2019, 11:54: AM

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