Question

Are <2 and <4 vertical angles? Explain your reasoning.

a) Yes, because vertical angles are always congruent.
b) No, because vertical angles have no special relationship.
c) Yes, because the sum of the angles around a point is 360 degrees.
d) No, because the angles are not on the same line.

Are <3 and <5 vertical angles? Explain your reasoning.
a) Yes, because vertical angles are always congruent.
b) No, because vertical angles have no special relationship.
c) Yes, because the sum of the angles around a point is 360 degrees.
d) No, because the angles are not on the same line.

Answer 1

Vertical angles are angles that are opposite each other when two lines intersect and are always congruent.

Step-by-step explanation:

Vertical angles are angles that are opposite each other when two lines intersect. They have a special relationship in that they are always congruent, meaning they have the same measure.

For the first question, <2 and <4 are vertical angles because they are opposite each other when two lines intersect. Therefore, the correct answer is a) Yes, because vertical angles are always congruent.

For the second question, <3 and <5 are not vertical angles because they are not opposite each other when two lines intersect. Therefore, the correct answer is d) No, because the angles are not on the same line.