Question

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

Answer 1

114°

Explanation:

By intersecting chords theorem:

`m\angle CED = (1)/(2) (96\degree + 36\degree)`

`\therefore m\angle CED = (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`