Question

which angles are vertical to each other? ∠bec and ∠hbe ∠dea and ∠aeb ∠fbg and ∠ebf ∠gbh and ∠ebf

Explanation:

Step1: Recall vertical - angle definition

Vertical angles are formed when two lines intersect. They are opposite each other and are congruent.

Step2: Analyze each option

For the pair of lines intersecting at point E, ∠DEA and ∠BEC are vertical angles, and ∠AEB and ∠DEC are vertical angles. For the pair of lines intersecting at point B, ∠FBG and ∠HBE are vertical angles, and ∠GBH and ∠EBF are vertical angles. Looking at the given options, the pair ∠DEA and ∠AEB are adjacent angles (not vertical), ∠BEC and ∠HBE are not vertical, ∠FBG and ∠EBF are adjacent. The pair ∠GBH and ∠EBF are vertical angles as they are formed by the intersection of two lines and are opposite each other.

Answer:

∠GBH and ∠EBF