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CBSE Class 9 Answered

O is the centre, measure of angle BCO is 30 degrees. find and y.
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Asked by plpatil69 | 10 Mar, 2019, 12:10: PM
answered-by-expert Expert Answer
since OD is parallel to BC,  begin mathsize 12px style angle end styleCOD = 30°  ( begin mathsize 12px style angle end styleCOD and begin mathsize 12px style angle end styleOCE are alternate angles ).
since begin mathsize 12px style angle end styleCBD is the angle subtended by arc CD in the circle and begin mathsize 12px style angle end styleCOD is the angle subtended by arc CD at centre, begin mathsize 12px style angle end styleCBD = 15°.
ΔOBC is similar triangle . begin mathsize 12px style angle end styleOCB = begin mathsize 12px style angle end styleOBC = 30° . Hence begin mathsize 12px style angle end styleBOC = 120°  . 
Since begin mathsize 12px style angle end styleBOC is the angle subtended by chord BC at centre and begin mathsize 12px style angle end styleBAC is the angle subtended by BC at major arc of circle,
begin mathsize 12px style angle end styleBAC = (1/2)begin mathsize 12px style angle end styleBOC = 60° .  Hence begin mathsize 12px style angle end styleBAE = 30°
Answered by Thiyagarajan K | 10 Mar, 2019, 03:03: PM

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