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Which are vertical angles? Check all that apply.

a. ∠OZEAB and ∠ZBAC
b. ∠ZEAB and ∠ZCAD
c. ∠OZCAD and ∠ZFAE
d. ∠ZCAB and ∠ZDAE

1 Answer

2 votes

Final answer:

Vertical angles occur when two lines intersect, forming pairs of opposite angles of equal measure. Without a diagram, it is challenging to ascertain which angles are vertical, but by definition, we look for pairs of opposite angles formed at the intersection of two lines. There is not enough information provided to determine which given pair is a set of vertical angles.

Step-by-step explanation:

Vertical angles, also known as opposite angles, occur when two lines intersect with each other. They are the angles that are opposite one another when two lines cross. Vertical angles are always equal in measure. To determine which angles are vertical angles, look for pairs of angles that are formed by intersecting lines and are opposite to each other.

°ZEAB and °ZCAD are not vertical angles because there's not enough information to define the intersection of lines creating these angles.

°OZCAD and °ZFAE may potentially be vertical angles if lines CA and AE intersect at point Z and form a pair of opposite angles.

°ZCAB and °ZDAE are not vertical angles because these angles are not formed by the same pair of intersecting lines.

It's important to have clear diagrams when dealing with questions about angles to avoid confusion and arrive at the correct answer.

User Sergey Prosin
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