Question

classify the four angles of the quadrilateral.

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 \(\angle A\)

Since \(\angle A = 90^{\circ}\), mark the right - box for \(\angle A\).

Step3: Classify \(\angle B\)

Since \(90^{\circ}<105^{\circ}<180^{\circ}\), mark the obtuse - box for \(\angle B\).

Step4: Classify \(\angle C\)

Since \(0^{\circ}<75^{\circ}<90^{\circ}\), mark the acute - box for \(\angle C\).

Step5: Classify \(\angle D\)

Since \(\angle D = 90^{\circ}\), mark the right - box for \(\angle D\).

Answer:

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