Q1. Construct the following quadrilaterals.
(ii) Quadrilateral PLAN
PL = 4 cm
LA = 6.5 cm
∠P = 90°
∠A = 110°
∠N = 85°
Given, PLAN is a quadrilateral.
PL = 4 cm
LA = 6.5 cm
∠P = 90°
∠A = 110°
∠N = 85°
We know, Sum of all angles of a quadrilateral = 360°
∠P + ∠L + ∠A+ ∠N = 360° 90° + ∠L + 110° + 85° = 360°
∠L = 360° - 285° = 75°
Steps of Construction
Step 1. Draw a line segment PL = 4 cm. Construct an angle of 75° at L. As LA =6.5 cm, draw an arc with L as centre and radius = 6.5 cm. We get point A.
Step 2. Construct an angle of 110° at A.
Step 3. Construct an angle of 90° at P. This ray intersects the previous one at N.
PLAN is the required quadrilateral.