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

160°
160 degrees

92°
92 degrees

80°
80 degrees

68°

Answer 1

To find the angle measure of DBC, we can use the angle sum property.

The sum of the measures of ∠ABD and ∠DBC must equal the measure of ∠ABC.

So, ∠ABD + ∠DBC = ∠ABC
92° + ∠DBC = 160°

To find ∠DBC, we subtract 92° from both sides of the equation:

∠DBC = 160° - 92°
∠DBC = 68°

Therefore, the angle measure of DBC is 68°.