Question

if l m and 1 =57 degree ,then find 2,3 and 4

Answer 1

given.
l || m

And 1=57°.

Since 1+2=180° (linear pair.)

57°+2=180°
→2=180°-57°=123°

Now.
3 is corresponding to 2.
So 3=2=123°

4 is corresponding to 1.

so4=1=57°

Extra. x° is vertically opposite to 2. and is a linear pair of 1.

So x=2=123° or x=180°-57°=123°.


So. Your required answers are...

2=123°
3=133°
4=57°
x=123°


Hope it helps...
Regards,
Leukonov.

Answer 2

L||m so
angle1 =angle 4 =57°(corresponding angle)
angle 1 + angle 2 =180°(linear pair)
57°+angle2=180°
angle 2 =180°-57°
angle 2=123°
now angle 2 =angle3 =123°(corresponding angle)