Question

consider the following parallelogram.find x,y,z​

Answer 1

||gm make 4 right triangles at the centre

so angle x=90°

x=90° -------------1.

By angle sum property,we get

x + y + 30° = 180°

90°+ y + 30° = 180°

120° + y = 180°

y = 180° - 120°

y = 60°

y=60° --------------2.

y=z=60° [ Alternate interior angles ]

z=60° ---------------3.

from 1, 2 and 3 ,we get

x=90°

y=60°

z=60°