breonicajackson breonicajackson
  • 04-02-2021
  • Mathematics
contestada

m_MLP = x + 31, mZPLK = x + 147,
and mZMLK = 164º. Find x.
M M
Р
L
K K

mMLP x 31 mZPLK x 147 and mZMLK 164º Find x M M Р L K K class=

Respuesta :

sqdancefan
sqdancefan sqdancefan
  • 04-02-2021

9514 1404 393

Answer:

  (c)  x = -7

Step-by-step explanation:

An angle is equal to the sum of the angles into which it is divided.

  ∠MLK = ∠MLP + ∠PLK

  164° = (x +31)° +(x +147)°

  164 = 2x +178 . . . . . . collect terms

  -14 = 2x . . . . . . . . . . . subtract 178

  -7 = x . . . . . . . . . . . . . divide by 2

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