Question

Construct the following quadrilateral of given measures.

In ☐ MORE, l(MO) = 5.8 cm, l(OR) = 4.4 cm, m∠M = 58°, m∠O = 105°, m∠R = 90°.

Answer 1

Steps of Construction:

Step 1: Draw MO = 5.8 cm.

Step 2: Draw ∠MOX = 105°.

Step 3: With O as the center and a radius of 4.4 cm, draw an arc-cutting ray OX at R.
Step 4: Draw ∠ORE = 90°.

Step 5: Draw ∠OMZ = 58°. Angle and extend the ray MZ. Let the rays MZ and RE intersect at point E.

Here, MORE is the required quadrilateral.