Question

construct a quadrilateral pqrs given that pq=6.5 cm qr=4 cm angle q is equal to angle s is 90 and angle r is 120​

Answer 1

Hence we have constructed a quadrilateral pqrs with the given measurements ( refer figure )

Step-by-step explanation:

• Given that pqrs is a quadrilateral
• And also given that pq=6.5 cm qr=4 cm angle q is equal to angle s is 90 and angle r is 120​
• That is $\angle q=\angle s=90^{\circ}$ and $\angle r=120^{\circ}$

To construct the given quadrilateral pqrs :

• Draw a line segment pq of 6.5 cm
• Again draw a line segment qr of 4 cm from the point q
• Again draw line segments from p and r join it and mark it as s
• hence we get quadrilateral pqrs

• Now mark the measurements $\angle q=\angle s=90^{\circ}$ and $\angle r=120^{\circ}$ refer the figure below

Hence we have constructed a quadrilateral pqrs with the given measurements ( refer figure )

Answer 2

Answer:

Step-by-step explanation:

⇒  Draw a line segment QR = 4.5cm.

⇒  Construct an angles of 110  

∘

 and 80  

∘

 at points Q and R.

⇒  Cut off PQ = 3.5cm and RS = 4cm.

⇒  Join PS.

⇒  Measure angle at point P.

⇒  We get ∠P=78  

∘

.