Question

4. Draw a quadrilateral and name it as PQRS. Write all the pairs of adjacent sides and adjacent angles.
5. Two angles of a quadrilateral are equal in magnitude. If the remaining two angles are 90° and 110°
respectively, then find the equal angles.​

Answer 1

4) Adjacent sides-PQ and QR, QR and RS, RS and PS, PS and PQ.

Adjacent angles- ∠P and ∠Q, ∠Q and ∠R, ∠R and ∠S, ∠P and ∠S.

I have given the figure below for this question.

5) The total sum of angles of quadrilateral: 360

So, 90+110+x+x=360

2x+200=360

2x=360-200

2x=160

x=160/2

x=80

Each angle measures 80 degrees.

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