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Angle KLM and angle MLN are a linear pair.

A horizontal line has points K, L, N. A line extends from point L up and to the right to point M.

Ray LR is to be added to the diagram so that it is opposite ray LM. Which is true about angle RLN that would be formed?

A. Angles RLN and MLK would be vertical angles.
B. Angles RLN and MLN would be vertical angles.
C. Angles RLN and KLM would be a linear pair.
D. Angles RLN and KLN would be a linear pair.

Answer :

Answer: Angles RLN and MLK would be vertical angles.

Step-by-step explanation:

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Rewritten by : Barada

A horizontal line has points K, L, N. A line extends from point L up and to the right to point M: Angles RLN and MLN would be vertical angles.

Based on the given information, if a horizontal line contains points K, L, and N, and a line extends from point L up and to the right to point M, then angle KLM and angle MLN are a linear pair.

Now, if Ray LR is added to the diagram opposite to Ray LM, the resulting angle RLN would be formed.

Vertical angles are formed when two lines intersect. They are opposite angles and have equal measures. Looking at the diagram, angles RLN and KLN do not share a common vertex, so they cannot be vertical angles.

Similarly, angles RLN and KLM do not share a common side or form a straight line, so they cannot be a linear pair.

Therefore, the correct statement is: Angles RLN and MLN would be vertical angles.

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