Geometry - Triangle d) In the given figure, BE = EC and CE is the bisector of ZACB. Prove that ZBEC = ZACD. E B D С
1 answer:
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
<u>Since BE = EC, the opposite angles are congruent:</u>
<u>Then:</u>
<u>Find the angle BEC:</u>
- m∠BEC = 180° - (x + x) = 180° - 2x
<u>Comparing the above we see that:</u>
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