Question

classify the four angles of the quadrilateral.

Explanation:

Step1: Define angle types

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

Step2: Classify \(\angle A\)

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

Step3: Classify \(\angle B\)

\(\angle B=100^{\circ}\), since \(90^{\circ}<100^{\circ}<180^{\circ}\), it is an obtuse angle.

Step4: Classify \(\angle C\)

\(\angle C = 60^{\circ}\), since \(0^{\circ}<60^{\circ}<90^{\circ}\), it is an acute angle.

Step5: Classify \(\angle D\)

\(\angle D=110^{\circ}\), since \(90^{\circ}<110^{\circ}<180^{\circ}\), it is an obtuse angle.

Answer:

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