Question

classify the four angles of the quadrilateral.

Explanation:

Step1: Recall the definitions of angles

• 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 \(\angle A = 90^{\circ}\), by the definition of a right angle, \(\angle A\) is a right angle.

Step3: Classify \(\angle B\)

Since \(\angle B=60^{\circ}<90^{\circ}\), by the definition of an acute angle, \(\angle B\) is an acute angle.

Step4: Classify \(\angle C\)

Since \(\angle C = 140^{\circ}\) and \(90^{\circ}<140^{\circ}<180^{\circ}\), by the definition of an obtuse angle, \(\angle C\) is an obtuse angle.

Step5: Classify \(\angle D\)

Since \(\angle D=70^{\circ}<90^{\circ}\), by the definition of an acute angle, \(\angle D\) is an acute angle.

Answer:

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