Question 2
Construct the Quadrilateral PLAN where
PL=4 cm, LA = 6.5 cm, ∠P=90∘, ∠A=110∘, ∠B=85∘
Given PL=4 cm, LA = 6.5 cm, ∠P=90∘, ∠A=110∘, ∠B=85∘
To construct : A quadrilateral PLAN
To find : ∠L=360∘−(90∘+85∘+110∘)=360∘−285∘=75∘
Steps of construction:
(a) Draw a line segment PL=4 cm
(b) Construct angle of 90∘ at P and produce the side PN.
(c) Construct angle of 75∘ at L and with L as centre, draw an arc of radius 6 cm, which intersects at A.
(d) Construct ∠A=110∘ at A and produce the side AN which intersects PN at N.
It is the required quadrilateral PLAN.