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

160°
160 degrees

92°
92 degrees

68°
68 degrees

80°
80 degrees
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Answer 1

To find the measure of angle DBC, we can use the fact that adjacent angles ABD and DBC add up to the larger angle ABC.

We know:

• m∠ABC = 160°
• m∠ABD = 92°

We can set up the equation:

m∠ABC = m∠ABD + m∠DBC

Substituting the values we know:

160° = 92° + m∠DBC

Now, solve for m∠DBC:

m∠DBC = 160° - 92° = 68°

Therefore, the measure of angle DBC is 68°.