Ray FL bisects ∠AFM. m∠LFM = (11x+4), m∠AFL = (12x - 2).

Mathematics

1 answer:

Ne4ueva [31]2 years ago

8 0

Answer:

AFM = 140

LFM = 70

Step-by-step explanation:

Here, we are to calculate LFM and AFM

Since AFM was bisected, then LFM + AFL is AFM

and also AFL = LFM

Thus;

11x + 4 = 12x -2

12x-11x = 4 + 2

x = 6

AFM = AFL + LFM = 11x + 4 + 12x-2 = 23x + 2

Substitute x = 6

AFM = 23(6) + 2 = 140

LFM = 11x + 4 = 11(6) + 4 = 66 + 4 = 70

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