Fill in the blank with the phrase that makes the proof statement true.

Lines m and n are parallel. Angle 1 is congruent to angle 2 by the Corresponding Angles Postulate. Angle 1 is congruent to angle 3 because they are vertical angles. by the Transitive Property.

A. Angle 2 is congruent to angle 3

B. Angle 3 is supplementary to angle 1

C. Angle 2 is congruent to angle 1

D. Angle 1 is complementary to angle 2

answer: what are the following choices

c

step-by-step explanation: easy math

answer:   the paragraph proof is mentioned below.

step-by-step explanation:

given: in a δxwy where

such that, ∠wzx ≅ ∠yzx and zw≅zy

we have to prove that: segment zx is a perpendicular bisector of segment wy.

prove: since, zw≅zy ⇒ ∠wzy is a supplementary angle.

then, ∠wzy= 180°

⇒∠wzx + ∠yzx = 180° ( because xz divides ∠wzy into two parts)

but, ∠wzx ≅ ∠yzx ( given)

⇒∠wzy+∠wzy=180° ( by substitution)

⇒2∠wzy=180°

⇒∠wzy=90°

⇒∠wzy=∠yzx =90°

therefore, xz⊥wy where wz=zy

⇒zx is a perpendicular bisector of wy.