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3 years ago

Lkm= 7X-5 nkm= 3X +9 find the angle to lkm

Mathematics

1 answer:

malfutka [58]3 years ago

8 0

Given =

∠lkm = 7x - 5

∠nkm = 3x +9

find = value of∠ lkm.

To proof - let us assume that we takeapoint say n and draw a line nk.

nk is angle bisector it divided angle in two equal parts.

( as shown in the diagram given below)

thus we have

∠lkm = ∠lkn + ∠nkm

7x-5 = 3x+9 +3x +9

x = 23

thus the value of∠ lkm

∠lkm = 7x-5

(put the value of x)

thus

∠lkm = 7×23 - 5

∠lkm = 156°

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