.In the circle ,O is the centre. AOC is a straight line. Angle BAO is 24° and Angle ADO is 42°. Find angle CAD, ACB, BCD.
Answers
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
c) in tri OAD,
Angle AOD=180-(42+42) sum prop.) --(using angle
=> 96------
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) ----eq3
angleACD=48-
from eq 3,and eq4,
angle BCD= 48+66
=114 degree...
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