Vertically Opposite Angles


 
 
Concept Explanation
 

Vertically Opposite Angles

Vertically Opposite Angles:

When two lines intersect they form two pairs of opposite angles, A + C and B + D. Another word for opposite angles are vertical angles. Vertical angles are always congruent, which means that they are equal.Two angles are said to be supplementary when the sum of the two angles is 180°.figure51

Example:

From the figure given: find the pairs of vertically opposite angles:

Solution: <1 and <3, <2 and <4, <5 and <7, 65 and <8 all are vertically opposite angles.

figure56
Sample Questions
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Question : 1

The measure of  angle POQ  in the following figure is   ____________________

Right Option : D
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Question : 2

On the basis of the given figure, which of the following is true

Right Option : C
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Question : 3

If two straight lines interscet, the measures of the vertically opposite angles are____.

Right Option : A
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Explanation
 
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