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QUESTION IMAGE

classify the four angles of the quadrilateral.

Question

classify the four angles of the quadrilateral.

Explanation:

Step1: Recall angle definitions

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

Step2: Classify \(\angle A\)

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

Step3: Classify \(\angle B\)

Since \(0^{\circ}<60^{\circ}<90^{\circ}\), \(\angle B\) is an acute angle.

Step4: Classify \(\angle C\)

Since \(90^{\circ}<140^{\circ}<180^{\circ}\), \(\angle C\) is an obtuse angle.

Step5: Classify \(\angle D\)

Since \(0^{\circ}<70^{\circ}<90^{\circ}\), \(\angle D\) is an acute angle.

Answer:

RightAcuteObtuse
\(\angle B\)\( \bigcirc\)
\(\angle C\)\( \bigcirc\)
\(\angle D\)\( \bigcirc\)