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
Read more about angles at
brainly.com/question/7620723
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