josieisonline05 josieisonline05
  • 20-08-2021
  • Mathematics
contestada


A and B are vertical angles. If m A = (4x + 8)° and m B = (2x + 28)°,
then find the value of x.

Respuesta :

teddiarsa
teddiarsa teddiarsa
  • 20-08-2021

Answer:

x = 10

Step-by-step explanation:

By the Vertical Angles Theorem that states the vertical angles are congruent.

4x+8 = 2x + 28

    -8           -8

-----------------------

4x = 2x + 20

-2x    -2x

-------------------------

2x = 20

/2      /2

--------------------------

x = 10

Answer Link
Bora77
Bora77 Bora77
  • 20-08-2021

Answer:

[tex](4x + 8) = (2x + 28) \\ \\ 4x + 8 = 2x + 28 \\ \\ 4x - 2x = 28 - 8 \\ \\ 2x = 20 \\ \\ x = \frac{20}{2} \\ \\ x = 10[/tex]

Vertical angel are always Equal ( = )

Answer Link

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