Question

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

(2 points)
∠ABC= ° and ∠CBD=

Answer 1

[AI-generated answer — Bot GPT 3.5]

∠ABC= 68° and ∠CBD= 112°

Answer 2

Wrong

Answer 3

[AI-generated answer — Bot GPT 3.5]

If the measure of ∠ABD is 112°, it means that the sum of ∠ABC and ∠CBD should be equal to 180° (because they form a straight line with ∠ABD). Therefore, ∠ABC + ∠CBD = 180°.

Since ∠ABD is given, we can subtract it from 180° to find the measure of ∠ABC: 180° - 112° = 68°. Thus, ∠ABC = 68°.

To find the measure of ∠CBD, we can subtract ∠ABC from 180°: 180° - 68° = 112°. Thus, ∠CBD = 112°.