Question

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



(2 points)
∠ABC=

°
and ∠CBD=

°

Answer 1

Since ∠ABD is 112°, the sum of the angles in triangle ABD is 180°.

Thus, ∠ABC = 180° - ∠ABD = 180° - 112°= 68°.

Also, since ∠ABC and ∠CBD are vertical angles, they have the same measure.

So, ∠CBD = ∠ABC = 68°.