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theoretical0315
05.08.2021 •
Mathematics
Geometry - Triangle d) In the given figure, BE = EC and CE is the bisector of ZACB. Prove that ZBEC = ZACD. E B D С
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Ответ:
Let m∠BCE = x
Then m∠ACE = x as well since CE is bisecting ∠ACB.
m∠ACD + x + x = 180° ⇒ m∠ACD = 180° - 2xConsider ΔBEC
Since BE = EC, the opposite angles are congruent:
∠BCE ≅ ∠CBEThen:
m∠CBE = m∠BCE = xFind the angle BEC:
m∠BEC = 180° - (x + x) = 180° - 2xComparing the above we see that:
m∠BEC = m∠ACDprovedОтвет:
m = -8/7
Step-by-step explanation: Use The Slope Formula To the Slope M