Vertical Angles Practice

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Question 1

Which of the following pair of angles are vertical angles?

identify all the vertical angles

Answer

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Select and check your answer...

A. I and II
B. II and III
C. III and IV
D. I and III

Step by Step Solution

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    Step 1

    To find out which pair of angles are vertical angles. We must know that:

    • Vertical angles are formed from two intersecting lines
    • Both angles are non-adjacent
    • Both angles will definitely be congruent (same angle)
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    Step 2

    As for angles I & II, they are not vertical angles. This is because these two angles are adjacent angles.

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    Step 3

    Similarly, angles II & III and III & IV are not vertical angles for the same reason as above.

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    Step 4

    Only angles I & III are vertical angles as these angles fulfill the properties mentioned in Step 1. Hence, the answer is D.

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