Question

classify the four angles of the quadrilateral.

Explanation:

Step1: Recall the definitions

• A right angle is equal to \(90^{\circ}\).
• An acute angle is less than \(90^{\circ}\).
• An obtuse angle is greater than \(90^{\circ}\) but less than \(180^{\circ}\).

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 \(\angle B = 60^{\circ}\), and \(60^{\circ}<90^{\circ}\), \(\angle B\) 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:

• \(\angle A\): Obtuse
• \(\angle B\): Acute
• \(\angle C\): Obtuse
• \(\angle D\): Right