Question

m∠abc = 135°
what type of angle is it?
obtuse
straight
right
acute

Explanation:

Step1: Recall angle definitions

• Acute: \(0^{\circ}<\theta < 90^{\circ}\)
• Right: \(\theta = 90^{\circ}\)
• Straight: \(\theta=180^{\circ}\)
• Obtuse: \(90^{\circ}<\theta < 180^{\circ}\)

Step2: Classify \(\angle ABC\)

Since \(90^{\circ}<135^{\circ}<180^{\circ}\), \(\angle ABC\) is obtuse.

Answer:

A. obtuse