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Reason with straight angles, full turns and vertically opposite angles.
Free examples and worked answers. No account needed.
Practise the method.
Reason with straight angles, full turns and vertically opposite angles.
Reason with straight angles, full turns and vertically opposite angles.
Example 1
Two adjacent angles form a straight line. One is 55∘. What is the other angle, in degrees?
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Answer: 125
- Angles on a straight line total 180∘.
- The unknown angle is 180−55=125∘.
Example 2
Three angles surround a point without gaps or overlaps. Two measure 60∘ and 140∘. What is the third angle, in degrees?
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Answer: 160
- Angles making one full turn total 360∘.
- Subtract the given angles: 360−60−140=160∘.
Example 3
Three angles surround a point without gaps or overlaps. Two measure 90∘ and 120∘. What is the third angle, in degrees?
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Answer: 150
- Angles making one full turn total 360∘.
- Subtract the given angles: 360−90−120=150∘.
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