If m∠ABC is 160°, and m∠ABD is 92°, what is the angle measure of DBC? ∠ABD and ∠DBC are adjacent angles inside ∠ABC.(1 point) Responses 92° 92 degrees 160° 160 degrees 68° 68 degrees 80°
Since ∠ABD and ∠DBC are adjacent angles inside ∠ABC, the sum of their angle measures is equal to the measure of ∠ABC.
∠ABD + ∠DBC = ∠ABC
Given that ∠ABD is 92° and ∠ABC is 160°, we can substitute these values into the equation:
92° + ∠DBC = 160°
Subtracting 92° from both sides of the equation gives:
∠DBC = 160° - 92°
∠DBC = 68°
Therefore, the angle measure of DBC is 68°. Answer: 68°