When two lines intersect at a point, what is the sum of the measures of both pairs of vertical angles?
A
90o
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B
180o
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C
360o
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D
None of the above
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Solution
The correct option is C360o We will draw a figure of two lines AC and BD intersecting at point O. We can observe from the figure that two pairs of vertical angles are formed. ∙∠1 and ∠3 ∙∠2 and ∠4
Now, the sum of the measures of both the pairs, i.e. ∠1+∠3+∠2+∠4
= ∠1+∠2+∠3+∠4
Which forms a full circle.