Lines AB and CD are parallel. If ∠3 measures (3x + 20)°, and ∠4 measures 70°, which equation could be used to solve for x

(3x+20) = 70

Step-by-step explanation:

All vertical or corresponding angles are congruent, aka they equal eachother.

(3x + 20)° + 70° = 180°

Step-by-step explanation:

b.an increase in a causes b to decrease

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.