Question

Question

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

68°

92°

160°

80°

Answer 1

[AI-generated answer — Bot GPT 3.5]

The angle measure of DBC is 68°.

To find this, we need to use the fact that the sum of the angles in a triangle is 180°. Since we know m∠ABC is 160° and m∠ABD is 92°, we can find the measure of ∠BCD by subtracting those two angles from 180°:

m∠BCD = 180° - 160° - 92°
m∠BCD = 180° - 252°
m∠BCD = 68°

Therefore, the angle measure of DBC is 68°. So the answer is 68°.