Question

A B C D is a parallelogram. Find the
values of x, y and z


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Answer 1

Answer:

Angle x = 80° [Sum of adjacent angles in a parallelogram = 180°]

Angle z = 80° [Opposite angles in a parallelogram are equal]

Angle y = 100° [Opposite angles in a parallelogram are equal]

Answer 2

Answer:

x=80°,y=100°,z=80°.

Step-by-step explanation:

Given: In parallelogram ABCD

B=100°

•opposite site of parallelogram gram are parallel

•line AD || line BC,

line AB || line CD

Solution: line AD || line BC and AB is transversal…(given)

•angle x+angle y=180…(interior angle)

x+y=180

x+100=180

x=180-100

x=80

x=80

•x=z… (alternate angle)

z=80

•B=y… alternate angle)

y=100