Question 5 A pair of parallel lines is cut by a transversal. What equation can be used to find the measures of the two marked angles? A : -8x + 8 = -6 + 20
B : -8x + 8 - 6x + 20 = 180
C : 14x + 28 - 180
D : 8x - 8 = 6x - 20​

a

step-by-step explanation:

the answer is:

mean: 6

mad: 2.14

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.