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Two friends are sharing one half of a pizza that is divided into three pieces, as shown in the figure.
A
B
O
C
D
If mZAOB = (2x - 4) and mZBOD= (14x+12)°, what is the value of x?

Two friends are sharing one half of a pizza that is divided into three pieces as shown in the figure A B O C D If mZAOB 2x 4 and mZBOD 14x12 what is the value o class=

Respuesta :

Using supplementary angles, it is found that the value of x is of x = 10.75.

What are supplementary angles?

Supplementary angles are angles whose measures add to 180º.

An entire pizza is 360º, hence half the pizza is 180º, meaning that angles AOB and BOD are supplementary.

Their measures are given as follows:

  • m<AOB = 2x - 4.
  • m<BOD = 14x + 12.

Since they are supplementary, they add to 180º and we can add their measures and solve for x as follows:

2x - 4 + 14x + 12 = 180

16x = 172

x = 172/16

x = 10.75.

More can be learned about supplementary angles at https://brainly.com/question/12919120

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