Question

Construct a quadrilateral MNOP where MP = 4.8 cm, NO = 5.2 cm, OP = 6 cm, 2M
∠O = 120° and ∠P = 65°. pls try to give full method if you solved it on copy and send the image it will be more helpful

Answer 1

(1)

Steps of Construction:

Step 1: Draw MO = 5.8 cm.

Step 2: Draw ∠MOX = 105°.

Step 3: With O as centre and radius 4.4 cm, draw an arc cutting ray OX at R.

Step 4: Draw ∠ORY = 90°.

Step 5: Draw ∠OMZ = 58° such that ray MZ and ray RY intersect each other at E.

Here, MORE is the required quadrilateral.

(2)

Steps of Construction:

Step 1: Draw DE = 4.5 cm.

Step 2: With D as centre and radius 7.2 cm, draw an arc.

Step 3: With E as centre and radius 6.5 cm, draw an arc cutting the previous arc at F.

Step 4: Join EF.

Step 5: With D as centre and radius 5.5 cm, draw an arc.

Step 6: With E as centre and radius 7.8 cm, draw an arc cutting the previous arc at G.

Step 7: Join DG and GF.