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
68°
68 degrees
80°
To find the angle measure of DBC, we can use the fact that the sum of the measures of adjacent angles inside a larger angle is equal to the measure of the larger angle.
In this case, m∠ABC = m∠ABD + m∠DBC.
Substituting the given values, we have:
160° = 92° + m∠DBC.
To solve for m∠DBC, we subtract 92° from both sides:
m∠DBC = 160° - 92° = 68°.
Therefore, the angle measure of DBC is 68°.