Question

what type of angle is this?
obtuse
straight
right
acute

Explanation:

Step1: Recall angle definitions

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

Step2: Analyze the given angle

From the figure, the angle at \(A\) (denoted as \(\angle BAC\)) is clearly less than \(90^{\circ}\)

Answer:

acute