3. In the diagram O is the centre of the circle.
AOC is a straight line.
Angle BAO is 24° and Angle ADO is 42°
a)find angle CAD
b)find the size of ACB
c)find the size of angle BCD

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=66eq4

c) in tri OAD,

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

=> 96eq1

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=48eq3

from eq 3,and eq4,

angle BCD= 48+66

=114 degree...

hope this helped youpls mark brainliest

36

step-by-step explanation: