<span>Vertical angles are opposite angles that share only a vertex.
When two lines intersect, we have two sets of vertical angles.
Linear pairs are two angles that form a straight line; when two lines intersect, we have two linear pairs.
If we know one of the angles formed when two lines intersect, we know that the angle opposite it, the vertical angle, has the same measure.
We also know that the angle beside it, that forms a linear pair, will be supplementary with it (add to 180); this means we can find its measure by subtracting from 180.
The remaining missing angle will be the same as this supplementary angle, since they are vertical angles</span>
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Answer: 
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Given: 
Find: 
Solution: We need to plug in the value -2 into every variable x that we have in the expression and simplify to get the solution.
<u>Plug in the values</u>
<u>Simplify</u>
- <u />

Therefore, the ordered pair that would match would have a x-coordinate of -2 and a y-coordinate of 4 producing (-2, 4) which matches option A.
Answer:
x = 11
Step-by-step explanation:
Lines are parallel. 5x + 10 and 10x + 5 are supplements of each other.
Move 5x+ 10 to the corresponding position on the figure. It will be next to 10x + 5 and form a linear pair with 10x + 5. A linear pair form a straight angle or two supplementary angles. Supplementary angles = 180°
Therefore 5x +10 + 10x + 5 = 180°
15x + 15 = 180°
15x = 180 - 15
15x = 165
x = 11
Answer:
22. B1, G1 (from left to right)
23. E5
Step-by-step explanation:
Answer:
(-4y,+12y), (z,19z)
Step-by-step explanation:
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