Applying the angles addition postulate, m<ABC = 20°.
What is the Angles Addition Postulate?
According to the angles addition postulate:
m<ABC + m<CBD = m<ABD
Given the following:
m<ABC = 6x - 4,
m<CBD = 3x + 2,
m<ABD = 34
Substitute
6x - 4 + 3x + 2 = 34
9x - 2 = 34
9x = 34 + 2
9x = 36
x = 4
m<ABC = 6x - 4 = 6(4) - 4
m<ABC = 20°.
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