Question

1 . Please tell this answer in step by step ​

Answer 1

Answer:

As you can observe in the diagram, AB and CD are parallel lines.

So, z=80°

Opposite angles are equal.

So, x = 180-z = 100

y = 80°

Answer 2

$y = {80}^{o} \: \: \: \: \: \: \: \: \: (opposite \: \: angle \: \: are \: \: equal) \\ \\ x + y = {180}^{o} \\ \ x + {80}^{o} = {180}^{o} \\ x = {180}^{o} - {80}^{o} \\ x = {100}^{o} \\ \\ let \: the \: interior \: c \: angle \: be \: a \: \\ a = {100}^{o} \: \: \: \: \: \: \: \: \: (opposite \: \: angle \: \: are \: \: equal) \\ a + z = {180}^{o } \: \: \: \: \: (linear \: pairs) \\ z = {180}^{o} - {100}^{o} \\ z = {80}^{o}$

z =80°

x=100°

y =80°