Question

Using ruler and a pair compass only, construct a triangle XYZ given YZ = 7 cm, ∠XYZ = 60° and ∠XZY = 45°. Draw the bisectors of angles X and Y.

Answer 1

Steps of Construction:

(1) Draw a line YZ = 7 cm.

(2) Y as a centre draw an ∠XYZ = 60°.

(3) Z as a centre draw an ∠XZY = 45°.

(4) From X and Y as centre draw bisector of ∠X and ∠Y, which meet at point O.