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Question
Use the image to answer the question.
An illustration shows a horizontal line intersecting two parallel slanting lines. The angles the horizontal line forms with left 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 horizontal line forms with right 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 is a vertical angle with ∠7
?
(1 point)
Responses
∠5
angle 5
∠2
angle 2
∠8
angle 8
∠6
angle 6
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1 answer
Vertical angles are formed by the intersection of two lines and are opposite each other. In this case, angle ∠7 is formed by the horizontal line and the right parallel line. The description indicates that angles that are opposite each other are vertical angles.
Given the relationships described, the angles that are opposite to angle ∠7 would be angle ∠6.
Therefore, the vertical angle with ∠7 is:
∠6
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