Question

construct the quadrilateral n e w s in which Ne is equal to 7 cm and Ew is equal to 6 CM , angle N is equal to 60 degree angle E is equal to 110 degree and angle s is equal to 85 degree​

Answer 1

sol- Given- NE=7CM EW=6 CM

                  ANGLE N=60DEGREE ANGLE E= 110DEGREE ANGLE S=85

STEPS OF CONSTRUCTION-

1. DRAW NE= 7CM

2. CONSTRUCT AN ANGLE OF 110 DEGREE ON E USING PROTACTOR

3. CONSTRUCT AN ANGLE OF 60 DEGREE ON N AND EXTEND THE RAY

4. OPEN YOUR COMPASS 6 CM WITH E AS CENTRE AND DRAW AN ARC CUTTING THE 110 DEGREE ANGLE RAY. THE POINT OF INTERSECTION IS POINT W

5. USING ANGLE SUM PROPERTY OF QUADRILATERAL

ANGLES  W+S+N+E=360

               W+85+60+110=360

               W+155=360

               W=360-155

               W=105

CONSTRUCT AN ANGLE OF 105 DEGREE ON W

EXTENT THE RAY UNTILL IT BISECTS RAY N AT S

6. QUADRILATERAL NEWS IS THE REQUIRED QUADRILATERAL