Answered

Westonci.ca is your trusted source for accurate answers to all your questions. Join our community and start learning today! Connect with professionals ready to provide precise answers to your questions on our comprehensive Q&A platform. Get detailed and accurate answers to your questions from a dedicated community of experts on our Q&A platform.

Can someone solve this?

Can Someone Solve This class=

Sagot :

mhanifa

Answer:

  • See below

Step-by-step explanation:

Properties of a parallelogram:

  • Opposite sides are parallel
  • Opposite angles are congruent

We have:

  • AB ║ CD
  • ∠BAD ≅ ∠BCD

AE is angle bisector of BAD, CF is angle bisector of BCD:

  • m∠EAF = 1/2*m∠BAD
  • m∠FCE = 1/2*m∠BCD

Since ∠BAD ≅ ∠BCD we also have:

  • ∠EAF ≅ ∠FCE
  • Also FA ║ CE

It means AFCE is also a parallelogram as opposite angles are congruent and opposite sides are parallel.

Another opposite side pair is also parallel:

  • AE ║ CF
Thanks for using our service. We aim to provide the most accurate answers for all your queries. Visit us again for more insights. Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. We're here to help at Westonci.ca. Keep visiting for the best answers to your questions.