Answer:
27+63=90
9(3+7) is the same as 27+ 63
When two lines intersect, opposite angles are equal. This means that angle 1 equals angle 4. We can use that information to find their values.
Angle 1 = Angle 4
6n+1 = 4n+19
2n=18
n=9
6(9)+1=54+1=55
Angle 1 and 4 equal 55 degrees.
Two angles that form a straight line together have a total sum of 180 degrees. Angles 1 and 5 are like this, as well as Angles 4 and 5, and Angles 4, 3, and 2 added together.
Therefore, 180 = (angle 4) + (angle 3) + (angle 2)
180= 55+(angle 3) + (angle 2)
125= angle 3 + angle 2
I'm not sure what else can be extrapolated from this. There doesn't seem to be a way to find out what the measure of angle 2 is without angle 3 as well. I hope this helps and you can figure it out from the answer choices!
14x-3y=53 is the answer. I put one equation over the other since there are two of them that needed to be solved
The question asks for the length of CD and HJ. To find those, we need to find a connection between them.
In the given statement, it says ABCD ≅ FGHJ. When we look at the equation, the corresponding letters are equal. For example, angle A is congruent to Angle F. Or BC ≅ GH.
So we know that CD and HJ are congruent.
Set them equal:

Subtract 2x from both sides:

Subtract 2 from both sides:

If x is 3, plug it in:

Simplify:

So, HJ is 11. And because HJ ≅ CD, CD is 11 too.