Question

Lines x and y are parallel. Write an equation that represents the relationship between b and e. Explain how you know this equation is always true. Your explanation should use AT LEAST TWO of the following terms: vertical angles, corresponding angles, congruent, supplementary.
please help

Answer 1

Answer:

m∠b + m∠e = 180°

Step-by-step explanation:

Lines x and y are the parallel lines and a transversal line is intersecting these lines.

∠b ≅ ∠h [Vertical angles]

∠h ≅ ∠f [Corresponding angles]

Therefore, ∠b ≅ ∠f [Congruent angles]

m∠f + m∠e = 180° [Supplementary angles]

m∠b + m∠e = 180° [Since, ∠b ≅ ∠f]

Therefore, equation representing the relation between ∠b and ∠e is,

m∠b + m∠e = 180°