Plz
find the value of a, b,c, and d.

Step-by-step explanation:

60+b+d=180 (angles on a st. line)

∠d=∠a  (alternate interior angles)

60+∠b+∠a=180 (substituting)

60+∠b+2∠b=180

3∠b=180-60=120

∠b=140/3=40°

a=2b=2×40=80°

a+c=180

80+c=180

∠c=180-80=100°

∠d=∠a=80°

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.