Which theorem correctly justifies why the lines m and n are parallel when cut by transversal k? a. converse of corresponding angles theorem b. converse of the alternate interior angles theorem c. converse of the same side interior angles theorem d. converse of the alternate exterior angles theorem

see the attached figure with letters to better understand the problem

we know that

If the lines m and n are parallel

then

m∠c=m∠f > by alternate interior angles

we have

m∠c=

m∠f=

substitute

  > is true

therefore

the lines are parallel

the answer is the option

B. Converse of the alternate interior angles theorem

pentagon

step-by-step explanation:

the coordinates   a(5, -2), b(3,-1),c(-4,-4) d(-3,8) and e(-1,4) forms the vertices of the polygon when they are connected in order.

in order to classify that which polygon is it with the given coordinates, first count the number of vertices and then count the number of sides it can make with these vertices.

since, the given coordinates have five vertices, therefore, it will make five sides. moreover, pentagon is regular in nature therefore it will be convex.

now, a polygon with five sides is known as pentagon, therefore, the given polygon is the pentagon.

answer: the anser is 3

step-by-step explanation:

c- 2o is equal to 9