the measure of ∠ABD is 112°, what are the measures of ∠ABC and ∠CBD?

(2 points)
∠ABC=

20
°
and ∠CBD=

82
°
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1 answer

Based on the given information, the measurement of ∠ABC can be calculated by subtracting the measurement of ∠ABD (112°) from the total of 180° in a triangle.
∠ABC = 180° - ∠ABD
∠ABC = 180° - 112°
∠ABC = 68°

To find ∠CBD, we will subtract the measurement of ∠ABC (68°) from the total of 180° in a triangle.
∠CBD = 180° - ∠ABC
∠CBD = 180° - 68°
∠CBD = 112°

Therefore, the measures of ∠ABC and ∠CBD are ∠ABC = 68° and ∠CBD = 112°.
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