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

M_MLP = x + 31, mZPLK = x + 147, and mZMLK = 164º. Find x. M M Р L K K-example-1
User Gra
by
3.1k points

1 Answer

3 votes

9514 1404 393

Answer:

(c) x = -7

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

User Benoit Cuvelier
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4.1k points