Question

I need geometry help

I don't know what is the correct classification for ∠BEC?

I can't tell if it's straight, acute, obtuse, or a right angle.

Answer 1

Angle BEC is the unmarked angle in the middle of the figure. Its value is the difference between straight angle AED (180°) and the two marked angles, 57° and 33°. That difference is ...

... 180° - 57° -33° = 90°

∠BEC is a right angle.

Answer 2

Right angle

Explanation:

We are given that

Angle AEB=
`57^(\circ)`

Angle CED=
`33^(\circ)`

We have to find the classification of angle BEC

We know linear sum =
`180^{\circ]`

Angle AEB +Angle BEC+Angle CED=180

Substitute the values then we get

`57+33+\angle BEC=180^(\circ)`

`90+\angle BEC=180`

`\angle BEC=180-90`

`\angle BEC=90^(\circ)`

Hence, the angle BEC is right angle