Question

If O is the centre find the value of x.

Answer 1

Step-by-step explanation:

(i) angle CAB = angle BDC ( angle of the same segment)

35°+65°+x = 180° (angle sum property)

x= 80°

(ii) angle ABD = angle ACD ( angle of the same segment)

40°+110°+x= 180° (angle sum property)

x=30°

(iii) OA = OB ( radius)

angle OAB = angle OBA (isoceles ∆)

now OA=OC (radius)

angle AOB = angle DOC ( vertically opposite)

OB=OD (radius)

by SAS triangle are congurent

x = angle OBA = 52°

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