Answer:
The measure of angle DBE is 37° ⇒ (A)
Step-by-step explanation:
If two lines are intersecting at a point, then every two vertically opposite angles are equal in measure
Example:
If line XY intersects line MN at point Z, then angle MZX, angle NZY are vertically opposite angles, and angle MZY, angle NZX are vertically opposite angles
Let us use this fact to solve the question
∵ Line CE intersects line AD at point B
∴ ∠ ABC and angle ∠DBE are vertically opposite angles
∴ m∠ABC = m∠DBE
∵ m∠ABC = 37°
∴ m∠DBE = 37°
The measure of angle DBE is 37°
