Question

what is the correct classification for \\( \angle bec \\)?
straight
acute
right
obtuse

Explanation:

Step1: Calculate the measure of ∠BEC

We know that the sum of angles on a straight line is \(180^{\circ}\). So, \(\angle BEC=180^{\circ}-55^{\circ}-34^{\circ}\).

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LATEXBLOCK0
$$

Step2: Classify the angle

• A straight angle is \(180^{\circ}\).
• An acute angle is between \(0^{\circ}\) and \(90^{\circ}\).
• A right angle is \(90^{\circ}\).
• An obtuse angle is between \(90^{\circ}\) and \(180^{\circ}\).

Since \(\angle BEC = 91^{\circ}\), it is an obtuse angle.

Answer:

obtuse