The measures of the angles are given as follows:
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, considering that the measure of angle ABD is of 82º:
6x - 9 + 4x - 1 = 82.
10x - 10 = 82.
10x = 92.
x = 9.2.
This value of x will be used to find the measures of the angles.
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 brainly.com/question/25716982
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