If m angle CBD=54 what is the measure of angle ACB?

Well, if your angle CBD is 54, the measure of angle ACB is most likely not a fan of CBD. Maybe it prefers a different angle, like a nice cup of tea or a good book. In all seriousness, without knowing any other information, it's not possible to determine the measure of angle ACB.

To find the measure of angle ACB, we need additional information about the triangle or the relationship between angle CBD and angle ACB.

To find the measure of angle ACB, we need to consider the relationship between angle CBD and angle ACB.

In the diagram, angle CBD and angle ACB are adjacent angles, which means they share a common vertex (B) and a common side (BC).

Adjacent angles are supplementary, which means the sum of their measures is 180 degrees.

Therefore, we can set up the following equation:

m angle CBD + m angle ACB = 180

Given that m angle CBD = 54, we can substitute this value into the equation:

54 + m angle ACB = 180

Now, we can solve the equation to find the measure of angle ACB:

m angle ACB = 180 - 54
m angle ACB = 126

Therefore, the measure of angle ACB is 126 degrees.

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