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In the diagram, which two angles are alternate interior angles with angle 14?

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 4 and Angle 12
Angle 3 and Angle 9
Angle 2 and Angle 10
Angle 12 and Angle 15

In the diagram, which two angles are alternate interior angles with angle 14? 4 lines-example-1
User Sharla
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3.9k points

2 Answers

4 votes

Answer:

A: 4 and 12

Explanation:

User Westmark
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4.2k points
3 votes

Answer:

Angle 4 and Angle 12

Explanation:

Angles 4 and angles 12 are alternate interior angles with 14.

Angle 4 is alternate interior with angle 14, and angle 12 is alternate interior with angle 14.

The person that answered above me is wrong. But there is some truth to his answer, because angle 3 is alternate interior with angle 9, but they are NOT alternate interior WITH angle 14.

That is why many people answering this question fail. The question says:

In the diagram, which two angle ARE alternate interior angles WITH angle 14?

To finally answer the question completely, angles 4 and 12 ARE alternate interior angles WITH angle 14.

Therefore the guy above me is 100% wrong.

Hence, the right option is (A).

User Cordell Lawrence
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3.8k points