The answer for the first slot is Alternate Interior Angles Theorem
Angle B and angle G are inside the "train tracks" formed by AB and GH. They are on opposite sides of the transversal line BG.
Along a similar line of reasoning, the answer for the second slot is Alternate Exterior Angles Theorem
The two parallel lines in question are AC and FH. The transversal line is FC. Angles ACB and HFG are on the exterior of the "train tracks" formed by the parallel lines.
First of all, you want the variable to be isolated, so in order to do that, you divide in both sides. Ten divided by two is five. So f = 5.
2f + 10
--- ---
2 2
10 divided by 2 = 5
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!
Answer:
The answer is apple
Step-by-step explanation: If you break it out correctly, whenever the sky tastes like watermelon its a sign of the birth of apples.
