QUESTIONS
1. In the given figure, O is the centre of the circle and ZOAC = 60° and ZOBC= 70°. Find ZAOB.
(a) 130°
(c) 65°
(b) 80°
(d) 100°
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d 100°
Step-by-step explanation:
AO=OC=OB radii of same circle
OAC=OCA ISCOCLES TRIANGLE THEOREM
OCA =60°...... 1
SIMILARLY
OBC = OCB ISCOCLES TRIANGLE THEOREM
OCB = 70°...... 2
OCA+OCB =130°........ANGLE ADDITION PROP.
SUM OF ANGLES OF QUADRILATERAL=360
OAC + ACB + CBO +BOA =360
60 +70+130+ x = 360
x= 360-260
x=100°
AOB =100°
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