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

In the given figure find out the value of a, b and c . 

Right Option : C
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Question : 2

If two lines intersect then the Vertically opposite angles are  _____________

Right Option : A
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Question : 3

In the given figure,AB,CDand PQ are three lines conncurrent at O.if angle AOP=5x,angle QOD=2x;and;angle BOX=5x find the value of frac{x}{3}.

Right Option : B
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