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°
68 degrees
160°
160 degrees
92°
92 degrees
80°
80 degrees
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To find the measure of angle 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, we have m∠ABD = 92° and m∠ABC = 160°.
Therefore, m∠DBC + m∠ABD = m∠ABC.
Substituting the given values, we have:
m∠DBC + 92° = 160°.
Solving for m∠DBC, we get:
m∠DBC = 160° - 92°.
m∠DBC = 68°.
So, the angle measure of DBC is 68°.