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In the adjoining figure , O is the cente...

In the adjoining figure , `O` is the center of the circle. If `angleBAD=30^(@)` , then find the values of x,y and z.

Text Solution

Verified by Experts

Here,
`angle BED =angle BAD ` (angles of a seagment)
`rArr z=30^@`
Arc BCD subtends angles at
centre`= angle BOD =Y`
remaining circle ` =angle BAD =30^@`
`therefore angle BOD =2xxangle BAD`
`rArr y=2xx30^@=60^@`
ABCD is a cyclic quadrilateral.
`therefore angle BCD +angle BAD =180^@`
`rArrx+30^@=180^@`
`rArrx=180^@-30^@`
`rArrx=150^@`
`therefore x=150^@, y=60^@, z=306@`
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