Use the image to answer the question.

An illustration shows a slanting line intersecting with two parallel horizontal lines. The angles the slanting line forms with top parallel line are 1, 2, 3, and 4. Angles 1 and 2 are complementary. Angles 2 and 4 are complementary. Angles 4 and 3 are complementary. Angles 3 and 1 are complementary. Angles 1 and 4 are opposite each other. Angles 2 and 3 are opposite each other. The angles the slanting line forms with bottom parallel line are 5, 6, 7, and 8. . Angles 5 and 6 are complementary. Angles 6 and 8 are complementary. Angles 8 and 7 are complementary. Angles 7 and 5 are complementary. Angles 5 and 8 are opposite each other. Angles 6 and 7 are opposite each other.

Which angle makes a vertical pair with ∠5
?

1 answer

The angle that makes a vertical pair with ∠5 is ∠7. Vertical angles are formed by the intersection of two lines, and they are opposite each other. Since angles ∠5 and ∠8 are stated to be opposite, and ∠5 forms vertical pairs with angles on opposite sides, ∠7 is the angle that is opposite to ∠5 on the other intersection.