What is the perimeter of this polygon? (2,3)
(-4, 2)

(3,-2)
(-2, -3)
A. 25.5 units
B. 21.7 units
O C. 24.4 units
D. 22.8 units

t and u are parallel lines

 s and t are also parallel lines

Step-by-step explanation:

If two parallel lines are cut by a transversal ,

then in it

pair of alternate angle are equals, similarly vice versa

if pair of alternate angle are equals then lines are parallel

pair of corresponding angles are equal and vice-versa

for example

in the given problem

if line t and u are parallel (note we have assumed this to give example of parallel lines)

then angle 7 and 9 are called alternate angles

pair of angles 5 and 9 are corresponding angles.

given

∠8 = ∠10 which are alternate angles for line t and u and s is transversal for it,

thus t and u are parallel lines

∠1 = ∠3 as they vertically opposite angles

and we know that pair of  vertically opposite angles are equal

given

∠1 = ∠7

thus

∠3 = ∠7

as pair of angles ∠3 and ∠7 are corresponding angles. and are equal and hence line  s and t are also parallel.