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Which statement is true about angles 3 and 6?

3 lines intersect to form 6 angles. Clockwise, from top left, the angles 2 (90 degrees), 1, 6, 5 (90 degrees), 4, 3.
They are adjacent angles.
They are complementary angles.
They are supplementary angles.
They are vertical angles.
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User Frlan
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1 Answer

7 votes

Final answer:

Angles 3 and 6, as formed by the intersection of three lines in the given description, are vertical angles. Vertical angles are opposite each other and have equal measures.

Step-by-step explanation:

The question is about identifying the relationship between angles 3 and 6 formed by the intersection of three lines. To answer this, we need to understand different types of angle relationships.

  • Adjacent angles are two angles that share a common side and vertex and don't overlap.
  • Complementary angles are two angles whose measures add up to 90 degrees.
  • Supplementary angles are two angles whose measures add up to 180 degrees.
  • Vertical angles are non-adjacent angles formed by two intersecting lines, and they are opposite each other.

In this case, the intersection of three lines creates six angles. Angles 3 and 6, as described in the layout, are vertical angles, which means they are non-adjacent, and they are opposite each other when two lines intersect. Vertical angles are equal in measure. Therefore, the true statement about angles 3 and 6 is that they are vertical angles.

User Tim Visher
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