Respuesta :

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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