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Vertically Opposite Angles Flashcards
GCSE Mathematics (Edexcel) 1MA1
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Vertically Opposite Angles
Angles that are opposite each other when two lines intersect. They are always equal.
Key Property of Vertically Opposite Angles
Vertically opposite angles are always equal.
Intersection of Two Lines
When two lines intersect, they form two pairs of vertically opposite angles.
Example of Vertically Opposite Angles
If one angle is 50°, the vertically opposite angle is also 50°.
How to Identify Vertically Opposite Angles
Look for angles that are directly opposite each other at the intersection of two lines.
Relationship Between Adjacent and Vertically Opposite Angles
Adjacent angles at an intersection are supplementary (add up to 180°), while vertically opposite angles are equal.
Diagram of Vertically Opposite Angles
In a diagram, vertically opposite angles are marked with the same symbol to show they are equal.
Real-Life Example of Vertically Opposite Angles
The angles formed by the hands of a clock at certain times can be vertically opposite.
Proof of Vertically Opposite Angles
The equality of vertically opposite angles can be proven using the fact that adjacent angles on a straight line add up to 180°.
Common Misconception About Vertically Opposite Angles
Vertically opposite angles are not the same as adjacent angles. Adjacent angles share a common side, while vertically opposite angles do not.

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