Question

classify the four angles of the quadrilateral.

Explanation:

Step1: Recall the definitions of angles

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

Step2: Classify \(\angle A\)

Since \(\angle A = 90^{\circ}\), according to the definition of a right - angle, \(\angle A\) is a right angle.

Step3: Classify \(\angle B\)

Since \(90^{\circ}<100^{\circ}<180^{\circ}\), according to the definition of an obtuse angle, \(\angle B\) is an obtuse angle.

Step4: Classify \(\angle C\)

Since \(0^{\circ}<60^{\circ}<90^{\circ}\), according to the definition of an acute angle, \(\angle C\) is an acute angle.

Step5: Classify \(\angle D\)

Since \(90^{\circ}<110^{\circ}<180^{\circ}\), according to the definition of an obtuse angle, \(\angle D\) is an obtuse angle.

Answer:

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