The coordinates of vertex B' is 
.
<h3>
How to calculate the coordinate of point by reflection</h3>
A point if reflected across the line 
by means of the following formula:
![P'(x,y) = P(x,y)+2\cdot [(x_{P}, -2)-P(x,y)]](https://tex.z-dn.net/?f=P%27%28x%2Cy%29%20%3D%20P%28x%2Cy%29%2B2%5Ccdot%20%5B%28x_%7BP%7D%2C%20-2%29-P%28x%2Cy%29%5D)
(1)
Where:
- Original point
- x-Coordinate of point P
- Resulting point
If we know that 
and 
, then the coordinates of the vertex is:
![P'(x,y) = (-2, 4) + 2\cdot [(-2,-2)-(-2,4)]](https://tex.z-dn.net/?f=P%27%28x%2Cy%29%20%3D%20%28-2%2C%204%29%20%2B%202%5Ccdot%20%5B%28-2%2C-2%29-%28-2%2C4%29%5D)
The coordinates of vertex B' is . 
To learn more on reflections, we kindly invite to check this verified question: brainly.com/question/1878272
Well here are two equivalent different expressions of my making that you could use for this question.
f(x) = 2x - 7
g(x) = 3x - 28 / 2
When x = 7, these two different expressions will equate to the same value of 7. If you meant something else let me know, otherwise this is what you should put for your essay-question.
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Work shown above! x = 7
To solve use the supplementary angle next to the unknown angle to find an expression for that unknown angle and use that with the expressions inside the triangle to set equal to 180 and solve for x.
hope this helps c:
