andrewswag55 andrewswag55
  • 25-10-2020
  • Mathematics
contestada

Find the value of x that makes m || n.
150°
AE
(4x - 61°
n
Lines m and n are parallel when z =

Find the value of x that makes m n 150 AE 4x 61 n Lines m and n are parallel when z class=

Respuesta :

akposevictor
akposevictor akposevictor
  • 02-11-2020

Answer:

[tex] x = 39 [/tex]

Step-by-step explanation:

150° = (4x - 6)° (corresponding angles are congruent if m is parallel to n)

Therefore, use the equation to solve for x as follows:

[tex] 150 = 4x - 6 [/tex]

Add 6 to each side of the equation

[tex] 150 + 6 = 4x - 6 + 6 [/tex]

[tex] 156 = 4x [/tex]

Divide both sides by 4

[tex] \frac{156}{4} = \frac{4x}{4} [/tex]

[tex] 39 = x [/tex]

[tex] x = 39 [/tex]

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