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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 classifications

  • A right angle is exactly \(90^\circ\).
  • An acute angle is less than \(90^\circ\) (and greater than \(0^\circ\)).
  • An obtuse angle is greater than \(90^\circ\) and less than \(180^\circ\).

Step2: Classify \(\angle A\)

\(\angle A = 90^\circ\), so it is a right angle.

Step3: Classify \(\angle B\)

\(\angle B = 60^\circ\), and \(60^\circ< 90^\circ\), so it is an acute angle.

Step4: Classify \(\angle C\)

\(\angle C = 140^\circ\), and \(90^\circ< 140^\circ< 180^\circ\), so it is an obtuse angle.

Step5: Classify \(\angle D\)

\(\angle D = 70^\circ\), and \(70^\circ< 90^\circ\), so it is an acute angle.

Answer:

RightAcuteObtuse
\(\angle B\)\(\circ\) (selected)
\(\angle C\)\(\circ\) (selected)
\(\angle D\)\(\circ\) (selected)