NoteFully
NoteFully NoteFully
  • 25-08-2022
  • Mathematics
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My question wouldn't go through for some reason so I've put the question on the picture

My question wouldnt go through for some reason so Ive put the question on the picture class=

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joaobezerra joaobezerra
  • 26-08-2022

The measures of the angles are given as follows:

  • ABC = 46.2º.
  • CBD = 35.8º.

What is the value of x?

Angle ABD is the sum of angles BCD and ABC, hence:

ABD = BCD + ABC.


We replace the measures to find the value of x, hence:

6x - 9 + 4x - 1 = 82.

10x - 10 = 82.

10x = 92.

x = 9.2.

What are the measures of the angles?

With x, we can find the measures of the angles, as follows:

  • ABC = 6(9.2) - 9 = 46.2º.
  • CBD = 4(9.2) - 1 = 35.8º.

More can be learned about measures of angles at https://brainly.com/question/25716982

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