Question

classify the four angles of the quadrilateral.

Explanation:

Step1: Recall angle definitions

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

Step2: Classify \(\angle A\)

Since \(\angle A=110^{\circ}\), and \(90^{\circ}<110^{\circ}<180^{\circ}\), \(\angle A\) is obtuse.

Step3: Classify \(\angle B\)

Since \(\angle B = 80^{\circ}\), and \(0^{\circ}<80^{\circ}<90^{\circ}\), \(\angle B\) is acute.

Step4: Classify \(\angle C\)

Since \(\angle C=100^{\circ}\), and \(90^{\circ}<100^{\circ}<180^{\circ}\), \(\angle C\) is obtuse.

Step5: Classify \(\angle D\)

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

Answer:

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