Apair of parallel lines is cut by a transversal: what is the measure of angle x? 50 degrees 55 degrees 60 degrees 80 degrees

60 degrees

Step-by-step explanation:

We know that when a traversal line passes through two parallel lines , then the alternate interior angles are equal ( or congruent).   (1)

From the given picture,we have two parallel line intersecting by a transversal line, making a pair of alternate interior angles as x+25° and 85°.  (2)

From (1) and (2), we have

Subtract from both the sides , we get

Hence, the measure of angle x = 60 degrees

89

step-by-step explanation:

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.