Question

find the value of the unknown x,y,z from the following parallelogram
with explanation ​

Answer 1

Answer:

here x = 90° [ by vertical opposite angle ]

as we know that

x° + y° + 30° = 180° [ by angle sum property ]

so, y° = 180° - ( x° + 30°)

I.e., y° = 180° - ( 90° + 30°)

I.e., y° = 180° - 120°

I.e., y° = 60°

now,z°

z° = y°

so, z° = 60° [ by alternative interior angle ]

Hence, x = 90°,y = 60° and z = 60°.

Step-by-step explanation:

here x is 90° because by vertically opposite angle.

y is 60° by angle sum property .

z is 60° because, as the sides of parallelogram are parallel hence y = z by alternative interior angle.