Question

Construct a quadrilateral PQRS, in which QR = 13 cm, RS = 10 cm, SP = 8 cm, angle R= 80°
and angle s = 105°. Write steps of construction

Answer 1

Step-by-step explanation:

Steps of Construction:

(i) Construct a line segment QR = 5 cm.

(ii) At the point Q, construct a ray QX making an angle of 60⋅ and cut off QP = 4 cm.

(iii) At the point R, construct a ray RY making an angle of 90⋅ and cut off RS = 4.5 cm.

(iv) Now join PS.

Therefore, PQRS is the required quadrilateral.