QUESTION:
Construct the following quadrilateral of given measures.
In ☐ ABCD l(AB) = 6.4 cm, l(BC) = 4.8 cm, m∠A = 70° , m∠B = 50° , m∠C = 140°.
SOLUTION: Steps of Construction:
Step 1: Draw AB = 6.4 cm.
Step 2: Draw ∠ABX = 50° .
Step 3: With B as centre and radius 4.8 cm, draw an arc cutting ray BX at C.
Step 4: Draw ∠BCY = 140° .
Step 5: Draw ∠BAZ = 70° .
such that ray AZ and ray CY intersect each other at D.
Here, ABCD is the required quadrilateral.