A,B,C are three points on the circle with centre O such that angle BOC=30° and angle AOB=60° If D is a point on the circle other than the arc ABC, find angle ADC
Answers
Answered by
8
Answer:45°
Step-by-step explanation:
angle ABO = (180-60)/2=60°
angle CBO = (180-30)/2=75°
angle ABC = angle ABO + angle CBo
=60+75=135°
As ABCD is a cyclic quadrilateral
angle ADC + angle ABC = 180°
angle ADC = 180° - angle ABC = 180 - 135
angle ADC = 45°
Answered by
14
Answer:
Given :
- A circle with centre O.
To find :
- ADC
Solution :
( the angle subtended an arc at the centre double the angle subtended by it at the any remaining part of the circle ) .
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