What is the measurement of x and y? can you show the answer and explain how you got it? !

x = 28, y = 47

**Remember, these are just the values of the variables, not the angle measures. In order to find the angle measures, you need to plug these in. **

Step-by-step explanation:

Finding x

40+5x=180

Subtract 40 from both sides --> 5x=140

Divide by 5 --> x=28

In order to find y, you need the angle to the left of the 40 degrees. (180-40) which is 140. Because the (3y-1) and 140 are across from one another, they are equal, so we set them equal, then get y alone.

3y-1 = 140

(add 1 to both sides) 3y = 141

(divide by 3) y = 47

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.