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topjm [15]
2 years ago
14

Some math help please?

Mathematics
1 answer:
Crank2 years ago
8 0

Answer:

∠ LMP = 77° , ∠ NMP = 103°

Step-by-step explanation:

The 2 angles on the straight line sum to 180° , that is

∠ LMP + ∠ NMP = 180 , substitute values

- 16x + 13 - 20x + 23 = 180 , that is

- 36x + 36 = 180 ( subtract 36 from both sides )

- 36x = 144 ( divide both sides by - 36 )

x = - 4

Then

∠ LMP = - 16x + 13 = - 16(- 4) + 13 = 64 + 13 = 77°

∠ NMP = - 20x + 23 = - 20(- 4) + 23 = 80 + 23 = 103°

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