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)%0D%0AResponses%0D%0A%0D%0A92°%0D%0A92 degrees%0D%0A%0D%0A160°%0D%0A160 degrees%0D%0A%0D%0A68°%0D%0A68 degrees%0D%0A%0D%0A80°
If the measure of ∠ABD is 112°, what are the measures of ∠ABC and ∠CBD? (2 points) ∠ABC= ° and ∠CBD= °
(3x+7)
(2x+5)
To find the measure of ∠DBC, we can use the fact that the sum of the measures of the angles inside a triangle is always 180°.
∠ABC + ∠ABD + ∠DBC = 180°
Substituting the given values:
160° + 92° + ∠DBC = 180°
Adding the known values:
252° + ∠DBC = 180°
Subtracting 252° from both sides:
∠DBC = 180° - 252°
Simplifying:
∠DBC = -72°
Therefore, the angle measure of DBC is -72°.