Question

Assuming that points A, B, and C are collinear, what is the measure, in degrees, of (∠DBE)?

[ begin{array}/{cccc} & & E & & 55° & A & & B & & & C & end{array} ]

Answer 1

To find the measure of ∠DBE, given that points A, B, and C are collinear and an angle of 55° at E, subtract 55° from 180°. ∠DBE measures 125°.

Step-by-step explanation:

The question is asking for the measure of ∠DBE given that points A, B, and C are collinear, and an angle of 55° at point E is provided. Based on the information given, we can infer that if points A, B, and C are collinear, then the line passing through these points is straight, creating a straight angle of 180° at point B when extended to point D. Therefore, the measure of ∠DBE is the supplementary angle to the 55° angle at E. To find this measure in degrees, we subtract the given angle from 180°.

Step-by-step explanation:

1. Recognize that a straight line creates a straight angle of 180°.
2. Understand that the angles forming a straight line are supplementary, meaning they add up to 180°.
3. Subtract the given angle of 55° from 180° to find the measure of ∠DBE: 180° - 55° = 125°.

Assuming that points A, B, and C are collinear, the measure of ∠DBE is 125°.