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igor_vitrenko [27]
3 years ago
15

3. In the diagram O is the centre of

Mathematics
1 answer:
ValentinkaMS [17]3 years ago
5 0

Answer:

Step-by-step explanation:

a) angle CAD= angle ODA ( in triangle OAD, OA=OD(same radius) angels opp                          to equal sides are equal)

hence angle CAD=42

b)angle b =90(angle subtended by diameter)

hence using angle sum property in triABC,

angle ACB=66-------------eq4

c) in tri OAD,

Angle AOD=180-(42+42)-------(using angle sum prop.)

=> 96-----------------eq1

angleACD=1/2 Angle AOD ( angle subtende by an arc at centre is double the angle subtended...)

hence angle ACD =1/2 x 96(from eq1)

angleACD=48--------------eq3

from eq 3,and eq4,

angle BCD= 48+66

=114 degree...

hope this helped you........pls mark brainliest

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