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Construct Δ  ABC, given m∠ A = 60 , m∠ B = 30 and AB = 5.8 cm.

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To construct: Δ  ABC where m A = 60° , mB = 30° and AB = 5.8 cm.

Steps of construction:

(a) Draw a line segment AB = 5.8 cm.

(b) At point A, draw an angle  YAB = 60° with the help of compass.

(c) At point B, draw  XBA = 30° with the help of compass.

(d) AY and BX intersect at the point C.

It is the required triangle ABC.

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