If the measure of ∠ABD is 112°, what are the measures of ∠ABC and ∠CBD?
(2 points)
∠ABC=
°20 , 45, 67, 82
and ∠CBD=
°40,45,82,92
Since ∠ABD is 112°, we know that ∠ABC + ∠CBD = 180° (because angles on a straight line add up to 180°).
Substituting the values provided, we have:
∠ABC + ∠CBD = 180°
∠ABC + 112° = 180°
Subtracting 112° from both sides, we get:
∠ABC = 180° - 112°
∠ABC = 68°
Therefore, ∠ABC is 68°.
To find ∠CBD, we can subtract ∠ABC from 180°:
∠CBD = 180° - ∠ABC
∠CBD = 180° - 68°
∠CBD = 112°
Therefore, ∠CBD is 112°.