miasamu04 miasamu04
  • 25-01-2021
  • Mathematics
contestada

Given m
11
n, find the value of x.
m
n
(6x+19)°
\(4x+11°

Given m 11 n find the value of x m n 6x19 4x11 class=

Respuesta :

unicorn3125
unicorn3125 unicorn3125
  • 26-01-2021

Answer:

         x = 15

Step-by-step explanation:

(4x + 11)° is suplementary angle to angle corresponding to (6x + 19)° angle

Therefore:

m║n    ⇒    (4x + 11)° = 180° - (6x + 19)°

(4x)° + 11° = 180° - (6x)° + 19°      {add (6x)° to both sides}

(10x)° + 11° = 161°                     {subtract 11° from both sides}

(10x)° = 150°                       {divide both sides by 10°}

 x = 15

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