Question

Construct ΔXYZ if it is given that XY = 6 cm, m∠ZXY = 30° and m∠XYZ = 100°.

Answer 1

Answer:

draw a line XY

construct 30°on point X and 100°on point Y

extend both the angle the point where they meet is z

and ∆XYZ is formed

Answer 2

Step-by-step explanaation of construction:

Step 1:

Draw a line XY=6 c.m. with the help of scale.

Step 2:

Make an ∠ZXY = 30° on X and another ∠XYZ = 100° on Y.(with the help of compass).[According to given information in question].

Step 3:

These two angle are intersect each other at a point called as Z.

Thus a ΔXYZ is formed as shown in the constructed figure.

In which we found ∠XZY is 50°.(By using angle sum property of triangle)

∠ZXY+∠XYZ+∠XZY=180°

30°+100°+∠XZY=180°

∠XZY=50°