-4/3 -5/1= 120 so if you add them they equal 120 which is -120
        
             
        
        
        
The measures of the angles ABCD are the same as the measures of the angles that is corresponding based on the reflected images.
<h3>How to show that the angles are equal</h3>
Based on the fact that this is a reflection, the angles would be equal measures.
What this means is that there is a preservation of the of the reflected image. This is the same logic for the length of the sides.
The reflection is known to be a rigid type of transformation that is known to have its angles and sides preserved.
Read more on reflection in mathematics here: 
brainly.com/question/1908648
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Sum is used for addition so the answer would be: 
D. f+6
        
                    
             
        
        
        
Answer:
Step-by-step explanation:
1. p║ q
50+130 = 180 
If the same side interior angles are supplementary  angles then the lines are parallel. 
2.  p║ q
70 = 70 
If the corresponding angles are congruent the lines are parallels. 
4. p║ q
x = x
If alternating exterior angles are congruent then the lines are parallel.
5. we do not know if p is parallel with q 
We have given that 2 vertical angles are congruent yet that is not enough to tell us about the relation between the 2 lines. 
7. For the lines p and q to be parallel we need the corresponding angles 3x and 45 to be congruent so therefore equal in measure.
3x= 45 , divide both sides by 3
x= 15
 For x = 15 the p║ q
8. For the lines p and q to be parallel we need the corresponding angles 120 and (2x+10) to be congruent so therefore equal in measure.
2x+10 = 120, subtract 10 from both sides 
2x = 110, divide both sides by 2 
x = 55
For x = 55 the p║ q
 
        
             
        
        
        
To solve for cos use 
adjacent over hypotenuse 
divide the lengths of the sides 
adj. / hyp.