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Ad libitum [116K]
3 years ago
7

Brainliest to first correct answer.

Mathematics
2 answers:
dsp733 years ago
8 0

Answer: D.  L1 is parallel to L4 because L1 is parallel to L3 and L3 is parallel to L4.

Step-by-step explanation: Since L1 and L3 are both perpendicular to L2, L4 is parallel to L1 if L1 is parallel to L3

Juliette [100K]3 years ago
6 0

Answer:

The correct option is D.

Step-by-step explanation:

It is given that L1 is perpendicular to L2, L2 is perpendicular to L3, and L3 is parallel to L4.

L1 ⊥L2, L2 ⊥ L3, L3║L4.

If one line perpendicular to second line and second line perpendicular to third line, then first and third line are parallel.

L_1\perp L_2,L_2\perp L_3\Rightarrow L_1\parallel L_3

Using transitive property of parallel lines.

L_1\parallel L_3,L_3\parallel L_4\Rightarrow L_1\parallel L_4

L1 is parallel to L4 because L1 is parallel to L3 and L3 is parallel to L4.

Therefore the correct option is D.

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