vishakhasingha
Answered

At Westonci.ca, we connect you with the answers you need, thanks to our active and informed community. Connect with a community of experts ready to help you find solutions to your questions quickly and accurately. Explore comprehensive solutions to your questions from knowledgeable professionals across various fields on our platform.

Geometry - Triangle d) In the given figure, BE = EC and CE is the bisector of ZACB. Prove that ZBEC = ZACD. E B D С​

Geometry Triangle D In The Given Figure BE EC And CE Is The Bisector Of ZACB Prove That ZBEC ZACD E B D С class=

Sagot :

mhanifa

Answer:

Let m∠BCE = x

Then m∠ACE = x as well since CE is bisecting ∠ACB.

  • m∠ACD + x + x = 180° ⇒
  • m∠ACD = 180° - 2x

Consider ΔBEC

Since BE = EC, the opposite angles are congruent:

  • ∠BCE ≅ ∠CBE

Then:

  • m∠CBE = m∠BCE = x

Find the angle BEC:

  • m∠BEC = 180° - (x + x) = 180° - 2x

Comparing the above we see that:

  • m∠BEC = m∠ACD
  • proved

We hope our answers were useful. Return anytime for more information and answers to any other questions you have. Thanks for using our platform. We aim to provide accurate and up-to-date answers to all your queries. Come back soon. Thank you for visiting Westonci.ca, your go-to source for reliable answers. Come back soon for more expert insights.