Question

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classify the four angles of the quadrilateral.
right acute obtuse
∠a
∠b
∠c
∠d

Explanation:

Step1: Recall angle definitions

• A right angle is \(90^{\circ}\).
• An acute angle is \(0^{\circ}<\theta < 90^{\circ}\).
• An obtuse angle is \(90^{\circ}<\theta < 180^{\circ}\).

Step2: Classify each angle

• \(\angle A = 90^{\circ}\), so it is a right angle.
• \(\angle B=75^{\circ}\), since \(0^{\circ}<75^{\circ}<90^{\circ}\), it is an acute angle.
• \(\angle C = 105^{\circ}\), since \(90^{\circ}<105^{\circ}<180^{\circ}\), it is an obtuse angle.
• \(\angle D=90^{\circ}\), so it is a right angle.

Answer:

	Right	Acute	Obtuse
\(\angle B\)		\(\bullet\)
\(\angle C\)			\(\bullet\)
\(\angle D\)	\(\bullet\)