Question:
If in a circle one angle is 120°, then what is the degree of the other angle?
If in a circle one angle is 120°, then what is the degree of the other angle?
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The sum of angles around a point is always 360°. Subtract the known angle to find the other.
Updated On: Oct 10, 2025
- 100°
- 240°
- 40°
- 20°
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The Correct Option is B
Solution and Explanation
Step 1: Understanding the Angle Sum in a Circle.
The total angle around a point (or circle) is always 360°. If one angle is 120°, the other angle can be found by subtracting it from 360°: \[ 360° - 120° = 240°. \]
Step 2: Verifying the Options.
- Option (1): 100° is too small to complement 120° to 360°.
- Option (2): 240° is the correct complementary angle, as it adds up to 360° with 120°.
- Option (3): 40° is too small.
- Option (4): 20° is too small.
Conclusion:
Therefore, the correct answer is (2) 240°.
The total angle around a point (or circle) is always 360°. If one angle is 120°, the other angle can be found by subtracting it from 360°: \[ 360° - 120° = 240°. \]
Step 2: Verifying the Options.
- Option (1): 100° is too small to complement 120° to 360°.
- Option (2): 240° is the correct complementary angle, as it adds up to 360° with 120°.
- Option (3): 40° is too small.
- Option (4): 20° is too small.
Conclusion:
Therefore, the correct answer is (2) 240°.
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