can someone please help me?!

Step-by-step explanation:

Remark

If you find < 3 first, that will give you angle 5 by alternate interior angles. <5 and <7 are equal by vertically opposite angles.

Solution

<3 + <2 = 180o              these two angles are on the same straight line.

<3 + 83 = 180o              Subtract 83 from both sides

<3 = 180 - 83

<3 = 97

As per the remark <3 = <5 by alternate interior angles.

<5 = 97

<7 = 97                          Vertically opposite angles are equal

Note

There are 4 angles that are equal to 83 and 4 angles that are equal to 97

83: angles 2 4 6 and 8

97: angles 1 3 5 and 7

No other values for this diagram are possible and these are always the result.

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.

hi how are you doing today? if you ever need just tell me

step-by-step explanation: