Question

Construct a quadrilateral pqrs given that anglle Q =105° , angle Q =75° ,angle R=90° , PQ=6.5 cm and QR=5 cm

Answer 1

Step-by-step explanation:

P + Q + R + S = 360 ( sum of all internal angles of quadrilateral = 360 )

75 + 105 + 90 + S = 360

270 + S = 360

S = 360-270

= 90

Now after finding all angles quadrilateral PQRS can be drawn by :

1 ) Draw a line segment PQ = 5cm

2) From angle Q draw an angle of 105

and QR of length 6cm

3) At the end of the line QR by taking R as centre draw an angle of 90

4) Now from P as centre draw an angle of 75

5) at last at the point where the line P and Q will meet draw the angle S Of 90

And quadrilateral PQRS is formed.

Hope it helps you