Question

Construct a quadrilateral MIST, where MI = 3.5 cm,
IS = 6.5 cm, ∠M = 75°, ∠S = 120°, and ∠I = 105°.

Answer 1

Solution:
Step 1: Draw the base of the quadrilateral MI = 3.5 cm, and construct ∠M = 75°.

Step 2: Draw an angle of 105° at I using a protractor.

Step 3: Mark S at 6.5 cm from point I by cutting an arc using a compass.

Step 4: Construct ∠S = 120°, and extend the line so that the line intersects the line that extends from ∠ M and the point of intersection of these lines is marked as T.

MIST is the required quadrilateral.