Question

What is the correct classification for ∠BEC?

Answer 1

Hey there! :)

The angle is a straight angle, which measures 180°.

One angle is 55° and the other is 34°.

55 + 34 = 89

180 - 89 = 91

That angle measures 91°

Acute = Less than 90°
Right = Equal to 90°
Obtuse = Greater than 90°
Straight = 180°

That angle is greater than 90° and isn't a straight angle, so it's obtuse.

Answer ⇒ Obtuse

Hope this helps :)

Answer 2

All these angles must add up to 180° because they are on a straight line. Make ∠BEC = x.

55 + x + 34 = 180
Combine like terms.

89 + x = 180
Subtract 89 from both sides.

x = 91

Since ∠BEC is greater than 90°, it is classified as an obtuse angle.