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

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Solution

Step1: Draw the base of the quadrilateral MI = 3.5cm, and mark ∠M at 75°.

Step2: Draw an angle of 105° at I using a protractor.

Step3: Mark S at 6.5cm from point I by cutting an arc using a compass.

Step4: Mark ∠S at 120°, and extend the line so that the line intersects at the line that extends from ∠ M and the point of intersection of these lines is marked as T.

MIST is the required quadrilateral.

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