Question
In the diagram, which two angles must be supplementary with angle 6?
4 lines intersect to form 16 angles. The angles created, clockwise from top left are 1, 2, 3, 4; 5, 6, 7, 8; 13, 14, 15, 16; 9, 10, 11, 12.
Angle 5 and Angle 7
Angle 1 and Angle 10
Angle 14 and Angle 16
Angle 7 and Angle 11
4 lines intersect to form 16 angles. The angles created, clockwise from top left are 1, 2, 3, 4; 5, 6, 7, 8; 13, 14, 15, 16; 9, 10, 11, 12.
Angle 5 and Angle 7
Angle 1 and Angle 10
Angle 14 and Angle 16
Angle 7 and Angle 11
Answers
GPT-4o mini
To determine which two angles are supplementary with angle 6, we need to recall that supplementary angles are two angles that add up to 180 degrees.
In the provided arrangement of intersecting lines:
- Angle 6 is adjacent to angle 5 and angle 7.
- Angles that are opposite to each other at a point (such as angle 6 and angle 14) are equal, but angles that are adjacent and on the same line as angle 6 will be supplementary.
Therefore, the angles that are supplementary to angle 6 would be angle 5 and angle 7, as they are formed by the intersection of lines that include angle 6.
Thus, the correct answer is:
**Angle 5 and Angle 7**.
In the provided arrangement of intersecting lines:
- Angle 6 is adjacent to angle 5 and angle 7.
- Angles that are opposite to each other at a point (such as angle 6 and angle 14) are equal, but angles that are adjacent and on the same line as angle 6 will be supplementary.
Therefore, the angles that are supplementary to angle 6 would be angle 5 and angle 7, as they are formed by the intersection of lines that include angle 6.
Thus, the correct answer is:
**Angle 5 and Angle 7**.