Question

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

Step2: Classify \(\angle A\)

Since \(\angle A = 90^{\circ}\), it is a right angle.

Step3: Classify \(\angle B\)

Since \(0^{\circ}<75^{\circ}<90^{\circ}\), \(\angle B = 75^{\circ}\) is an acute angle.

Step4: Classify \(\angle C\)

Since \(90^{\circ}<105^{\circ}<180^{\circ}\), \(\angle C = 105^{\circ}\) is an obtuse angle.

Step5: Classify \(\angle D\)

Since \(\angle D=90^{\circ}\), it is a right angle.

Answer:

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