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

92°
92 degrees

80°
80 degrees

160°
160 degrees

68°

Answer 1

To find the angle measure of ∠DBC, we can use the relationship between adjacent angles.

Given:
- m∠ABC = 160°
- m∠ABD = 92°

Since ∠ABD and ∠DBC are adjacent angles forming ∠ABC, we can use the following equation:

\[ m∠ABC = m∠ABD + m∠DBC \]

Substituting the known values:

\[ 160° = 92° + m∠DBC \]

Now, we can solve for m∠DBC:

\[ m∠DBC = 160° - 92° \]
\[ m∠DBC = 68° \]

So, the angle measure of ∠DBC is 68°.