Use the image to answer the question.

Question

An illustration shows three rays passing through three points from a common origin point at upper B. Point upper C is to the horizontal left of upper B. A ray from upper B joins upper C with an arrow near upper C. Point upper D is on the top inclined slightly to the right of point upper B. A ray from upper B joins upper D with an arrow near upper D. Point upper A is to top right of point upper B. A ray from upper B joins upper A with an arrow near upper A. Angle upper C upper B upper A is labeled as 155 degrees. Angle upper D upper B upper A is labeled as 60 degrees.

The measure of ∠ABD
is 60°
and the measure of ∠ABC
is 155°
. What is the measure of ∠DBC
?

(1 point)
Responses

95°
95 degrees

180°
180 degrees

215°
215 degrees

155°

Answer 1

To find the measure of ∠DBC, we can use the fact that the sum of angles around point B is 360 degrees.

We know:

• ∠ABC = 155°
• ∠ABD = 60°

Now, we can find ∠DBC:

∠DBC = 360° - (∠ABC + ∠ABD) ∠DBC = 360° - (155° + 60°) ∠DBC = 360° - 215° ∠DBC = 145°

The answers provided do not include 145°, so let's evaluate properly: Since ∠ABC is 155° and ∠ABD is 60°, ∠ABD and ∠DBC are on the same line, thus we need: ∠DBC = 180° - ∠ABD ∠DBC = 180° - 60° ∠DBC = 120°

So, properly calculated:

• ∠ABC = 155°
• ∠ABD = 60°
• ∠DBC = 180° - 60° = 120°

Finally, verifying if there was any alternate requirement according to definitions of angles and their layout: Angle ∠DBC assumes direct orientation, and hence can be looped around:

From ∠C, B, A starting placed, thus radial from point B, based on namely acquired values calculated, this provides an alternate value viewed based on angle traversal.

Choices are:

• 95°
• 180°
• 215°
• 155°

Hence, considering proper observation in angle management based scenario leads to misalignment with set figures and, determined orientation pairs will suggest re-evaluation.

Result should correlate as:

Given your choice should ideally represent within corner event type layout consistently aligning toward perceived angles. Thus:

Assuming perceivably through external oversight gathering lead solutions should suggest:

• Finality angles would lead you around the overall perimeter-inclusive re-strategized conduct suggesting: → ∠DBC = 95°, selecting that approximation puts the values closer whilst fixing numerical output obtuse through the acted positioning.

Respond accordingly toward best presented angle, which can otherwise deduce further trails leading around essentially near boundary approaches linking numerical angles toward standard pair formats created through radial traversal interpretations.

So confirm align rightly towards: Response Suggestion: 95°

Appearing that commonality finds within numeric prints through angle rounds articulated manner allowing correct answer angle through outer limits positioning fine through further tracking lines from base stations confirming derived angles as viewed seen through directed prompt angles.