Please Show Work. Line A and B are parallel lines transverse by line C. What is the measure of angle x?

The angle x is equal to 30°.

Step-by-step explanation:

We are given that

We can find out what angle is the supplement of 150° by setting up a simple equation.

Then, we can use the Corresponding Angles Postulate. This states that when two parallel lines are cut by a transversal, the angles that are corresponding (not a supplement) are congruent to each other.

Therefore, the angle that is to the top right of x is equal to 150°.

Finally, we need to find x. We can do this by using the same equation above and finding the supplement. We know this is 30°, so x = 30°.

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.