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9 months ago

Given Ray BA bisects ∠CBD and the diagram below, what is m∠ABD?

Mathematics

1 answer:

Illusion [34]9 months ago

8 0

The measure of the angle ∠ABD is 64 degrees

<h3>How to determine the measure of the angle?</h3>

From the question, we have the following parameters:

Ray BA bisects ∠CBD

∠CBD = 5x + 18

∠ABC = 3x - 2

Because of the bisection, we have

∠ABC = ∠ABD

∠ABC * 2 = ∠CBD

Substitute the known values in the above equation, so, we have the following representation

(3x - 2) * 2 = 5x + 18

Open the brackets

6x - 4 = 5x + 18

Evaluate the like terms

x = 2

Recall that

∠ABC = ∠ABD

So, we have

∠ABD = 3x - 2

This gives

∠ABD = 3 x 22 - 2

Evaluate

∠ABD = 64

Hence, the angle is 64 degrees

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