Question

Use the Figure
Are ∠2 and ∠5 vertical angles? Explain.

Answer 1

Answer:

No, angle 5 and angle 2 are not a vertical opposite angles.

Answer 2

∠2 and ∠5 angles are not vertical angles because they are opposite but not equal

Given:

∠2 and ∠5 vertical angles

To find:

Check whether given angles are vertical angles

Explanations:

• When two lines intersect each other at point, they will form opposite angles shown figure.
• The opposite angles, formed due to intersection are called verticaly opposite angles or  vertical  angles.
• The pair of vertically opposite angles formed due to intersection are always equal to each other. Also, it will be a supplementary angle to the adjacent angle i.e., they add up to 180 degrees

In given figure

• ∠2 and ∠5 angles are opposite to each other but not equal as there is an angle ∠3  on  ∠2 side  
• So here we can conclude that ∠2 and ∠5  are not vertical angles.

Therefore, ∠2 and ∠5 angles are not vertical angles because they are opposite but not equal.

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