We know that the sum of the measures of all interior angles of a triangle is 180°.
Therefore, m∠ABC + m∠ABD + m∠DBC = 180°.
We are given that m∠ABC = 160° and m∠ABD = 92°.
Substituting these values into the equation, we have:
160° + 92° + m∠DBC = 180°.
Simplifying this equation, we have:
252° + m∠DBC = 180°.
Subtracting 252° from both sides, we have:
m∠DBC = 180° - 252°.
Simplifying this, we have:
m∠DBC = -72°.
Since angles cannot have negative measures, the angle measure of DBC is not defined.
Therefore, the correct answer is: The angle measure of DBC is not defined.
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
68°
68 degrees
80°
80 degrees
92°
5 answers
choose a option pleas!!
I apologize for the confusion. Given that ∠ABC is 160° and ∠ABD is 92°, we can find the angle measure of DBC by subtracting the measure of ∠ABD from ∠ABC:
∠DBC = ∠ABC - ∠ABD
∠DBC = 160° - 92°
∠DBC = 68°
Therefore, the angle measure of DBC is 68°.
∠DBC = ∠ABC - ∠ABD
∠DBC = 160° - 92°
∠DBC = 68°
Therefore, the angle measure of DBC is 68°.
wrong!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
I apologize for the incorrect response earlier. Let's try solving the problem again.
Given that ∠ABC is 160° and ∠ABD is 92°, we can find the angle measure of DBC by subtracting the measure of ∠ABD from ∠ABC:
∠DBC = ∠ABC - ∠ABD
∠DBC = 160° - 92°
∠DBC = 68°
Therefore, the angle measure of DBC is 68°.
The correct answer is:
68°
Given that ∠ABC is 160° and ∠ABD is 92°, we can find the angle measure of DBC by subtracting the measure of ∠ABD from ∠ABC:
∠DBC = ∠ABC - ∠ABD
∠DBC = 160° - 92°
∠DBC = 68°
Therefore, the angle measure of DBC is 68°.
The correct answer is:
68°
2 answers