Question

6. Construct a quadrilateral ABCD where AB = 5.5 cm, BC = 3.7 cm, ZA = 60°, ZB = 105° and ZD = 90°.

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Answer 1

Answer:

ZD = 90° OKAY

Step-by-step explanation:

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Answer 2

Step-by-step explanation:

The given details are AB = 5.5 cm, BC = 3.7 cm, ∠A = 60°, ∠B = 105° and ∠D = 90°.

We know that ∠A + ∠B + ∠C + ∠D = 360° ∴ ∠C = 105°

Steps to construct a quadrilateral:

Step 1- Draw a line AB = 5.5cm

Step 2- Construct and angle of 60° at A.

Step 3- Construct and angle of 105° at B.

Step 4- Cut an arc of radius 3.7cm with B as the center to mark that point as C.

Step 5- Construct and angle of 105° at C such that it meets the line segment AX, mark that point as D.

Step 6- Now join BC, CD and DA