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if two line ab and CD intersect at O and angle AOC + Angle B O D equal to 240 degree then find angle BOC
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if two line ab and CD intersect at O and angle AOC + Angle B O D equal...
**Solution:**
Given:
- Two lines AB and CD intersect at O.
- Angle AOC is equal to angle BOD which is 240 degrees.
To find: Angle BOC.
**Explanation:**
In the given figure, lines AB and CD intersect at point O. Let's consider the angles formed:
- Angle AOC: This is the angle between line AB and line CD. It is given that angle AOC is equal to 240 degrees.
- Angle BOD: This is the angle between line CD and line AB. It is also given that angle BOD is equal to 240 degrees.
To find angle BOC, we can use the fact that the sum of angles around a point is 360 degrees. In other words, the angles formed around a point add up to a full circle.
So, we can say that:
Angle AOC + Angle BOC + Angle BOD = 360 degrees
Substituting the given values:
240 degrees + Angle BOC + 240 degrees = 360 degrees
Simplifying the equation:
480 degrees + Angle BOC = 360 degrees
Subtracting 480 degrees from both sides:
Angle BOC = 360 degrees - 480 degrees
Angle BOC = -120 degrees
Since angles cannot be negative, we conclude that angle BOC cannot be -120 degrees. Therefore, there is no solution for angle BOC in this case.
In conclusion, the value of angle BOC cannot be determined with the given information.
Given:
- Two lines AB and CD intersect at O.
- Angle AOC is equal to angle BOD which is 240 degrees.
To find: Angle BOC.
**Explanation:**
In the given figure, lines AB and CD intersect at point O. Let's consider the angles formed:
- Angle AOC: This is the angle between line AB and line CD. It is given that angle AOC is equal to 240 degrees.
- Angle BOD: This is the angle between line CD and line AB. It is also given that angle BOD is equal to 240 degrees.
To find angle BOC, we can use the fact that the sum of angles around a point is 360 degrees. In other words, the angles formed around a point add up to a full circle.
So, we can say that:
Angle AOC + Angle BOC + Angle BOD = 360 degrees
Substituting the given values:
240 degrees + Angle BOC + 240 degrees = 360 degrees
Simplifying the equation:
480 degrees + Angle BOC = 360 degrees
Subtracting 480 degrees from both sides:
Angle BOC = 360 degrees - 480 degrees
Angle BOC = -120 degrees
Since angles cannot be negative, we conclude that angle BOC cannot be -120 degrees. Therefore, there is no solution for angle BOC in this case.
In conclusion, the value of angle BOC cannot be determined with the given information.
Community Answer
if two line ab and CD intersect at O and angle AOC + Angle B O D equal...
60 degree
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if two line ab and CD intersect at O and angle AOC + Angle B O D equal to 240 degree then find angle BOC Related: Short Answer Type Questions- Lines and Angles?
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