M/IGJ will equal 52 degrees.
Since EGF is 90 degrees then and EGD equals 38 degrees you need to subtract 38 from 90 and you are left with 52 degrees for angle FGD. The alternate interior angle to FGD is IGJ which would make the angles congruent.
The value (y2) of r = 1/2.
This question relates to equation of a straight line but we are looking for the slope in this case.
<h3>Slope</h3>
This is the ratio to which we measure the change along the y-axis to the change along the x-axis. The formula is given as

Data given;
- x1 = 3
- x2 = -3
- y1 = 5
- y2 = r
- m = 34 or 3/4
Substitute the values into the equation and solve for the unknown
NB; we are assuming that the slope here is 34 and not 3/4.

cross multiply both sides and make r the subject of formula

the value of r = -199.
This is not mathematically obtainable and we would use 3/4 as the value of slope

The most logical value of r = 1/2
Learn more on slope here;
brainly.com/question/4074386
Y = x-3
Basically you just need to plug in an x value and solve for y
y = x - 3
y = (4) - 3
y = 1
In this case, the ordered pair of this equation would be (4, 1)
You can do this given any x or y coordinate
Hope this helps
The method that is not correct is brandon's method.
D) construction of the angle bisector.
So if you have a triangle that is not equilateral the perpendicular bisectors would not work so you need angle bisectors.
I have drawn a diagram
The green is the angle bisectors and the yellow the perpendicular bisectors.
You can see the problem straight away