Question

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

Answer 1

Answer:

since opp angles of parallelogram are equal and sum of all angles is 360°

so, <y = 80°

now, x + 80° + y + ( 180°-z) = 360°

X + ( 180°-z ) = 360°-160° (let 180-z = m)

X + m = 200°

2m = 200° (since X = m)

m = 100° or X = 100°

z = 80°

Answer 2

so <y=80°( opposite angles r equal in a parallelogram)

<x= 180°-<y(adjacent angles of parallelogram are supplementary)

<x=180°-80°

<x=100°

<z=

<x=<1(opposite angles r equal in a parallelogram)

<1=100°

<z=180°-100°(adjacent angles r supplementary)

<z=80°

So hence <x=100° <y=80° n <z=80°