It's an easy problems. what equations are you trying to find?
Answer:
1st scenario: 163.3°
2nd scenario: 125.2°
3rd scenario: 142.3°
Step-by-step explanation:
1st scenario: angles 1 and 2 form a linear pair and add up to 180
2nd scenario: angles 1 and 4 are same-side interior and add up to 180
3rd scenario: angles 1 and 8 are corresponding and equal; if angle 7 is 37.7 then angle 8 is 142.3 (they form a linear pair). Since angles 1 and 8 are equal then angle 1 is also 142.3
Answer:

Step-by-step explanation:
Given: E, F, G, H denote the three coordinates of the area fenced
To find: coordinates of point H
Solution:
According to distance formula,
length of side joining points
is equal to 
So,

Perimeter of a figure is the length of its outline.

Put 

This is true.
So, the point
satisfies the equation 
So, point H is
.