Question

. Consider the following parallelogram. Find the values of the unknown x, y, z.​

Answer 1

Answer:

50+y=180

y=130

x=y=130

and z=x=130

(corresponding angles)

Step-by-step explanation:

hence, the value s of x,y and z are 130⁰

Answer 2

Answer:

Ly=130°

Lx=130°

Ly=130°

Step-by-step explanation:

Solution:

Let 50 degree angle be angel a

then, the parallel angel of parallelogram is 180°

La+Ly=180°

50+Ly=180°

Ly=180-50

Ly=130°

then, Lx=Ly... (the opposite angel of parallelogram is equal)

Ly=130°

Lx=130°

Ly=Lz... (by alternate exterior angel theorem)

Ly=130°

Lz=130°