in figure A,B and,C are three points on a circle with center 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
Answer:
45° or 30°
Depending upon ABC point position
Step-by-step explanation:
in figure A,B and,C are three points on a circle with center 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
As figure is missing there could be few cases for position of ABC point
ABC , ACB , BAC
case 1 as ABC
∠AOC = Arc Angle
∠AOC = ∠AOB + ∠BOC
=> ∠AOC = 60° + 30
=>∠AOC = 90°
∠ADC = (1/2) ∠AOC
=> ∠ADC = (1/2) * 90°
=> ∠ADC = 45°
Case 2 ACB
∠AOB is the arc Angle
∠ADC = (1/2) ∠AOB
=> ∠ADC = (1/2) * 60°
=> ∠ADC = 30°
Case 3 BAC is not possible as
∠AOB > ∠ BOC
so A can not lie between BC points
Answer:
45° or 30°
Depending upon ABC point position
Step-by-step explanation:
in figure A,B and,C are three points on a circle with center 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
As figure is missing there could be few cases for position of ABC point
ABC , ACB , BAC
case 1 as ABC
∠AOC = Arc Angle
∠AOC = ∠AOB + ∠BOC
=> ∠AOC = 60° + 30
=>∠AOC = 90°
∠ADC = (1/2) ∠AOC
=> ∠ADC = (1/2) * 90°
=> ∠ADC = 45°
Case 2 ACB
∠AOB is the arc Angle
∠ADC = (1/2) ∠AOB
=> ∠ADC = (1/2) * 60°
=> ∠ADC = 30°
Case 3 BAC is not possible as
∠AOB > ∠ BOC
so A can not lie between BC points
Step-by-step explanation: