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3 years ago

What is angle E!!!! please!!! please!!!

Mathematics

1 answer:

Gennadij [26K]3 years ago

5 0

Answer:

114°

Step-by-step explanation:

By intersecting chords theorem:

$m\angle CED = \frac{1}{2} (96\degree + 36\degree)$

$\therefore m\angle CED = \frac{1}{2} (132\degree)$

$\therefore m\angle CED =66\degree$

Next, by linear pair angles theorem:

$m\angle BEC+m\angle CED =180\degree$

$\therefore m\angle BEC+66\degree =180\degree$

$\therefore m\angle BEC =180\degree-66\degree$

$\therefore m\angle BEC =114\degree$

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