Answer:
∠1 = 55°
∠3 = 125°
∠4 = 55°
∠5 = 55°
∠6 = 125°
∠7 = 125°
∠8 = 55°
Step-by-step explanation:
This is the detective case for vertical angles!!(dun-dun-dun!!!!)
Ok the info we have is that Angle 2 is 125°
Ok, quick, take ten seconds, the other group might take the victory coin. What is the vertical angle for angle 2?
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3! Correct
3 is the vertical angle because it is one part of the pair of opposite angles made by two intersecting lines.
3 is now 125°
The sum of all angles 1,2,3,4 is 360°
360° - 125° - 125° = 110°
110° / 2 (because 1 and 4 are vertical, they are equal) = 55°
1 = 55° and 4 = 55°
Lets do this for 5,6,7, and 8
Angle 1 = angle 5 because it is the law of same side interior(corresponding) angles, or they are the same because the lines are parallel to each other.
So angle 5= 55°
then angle 8 = 55°
6 = 125° and 7 = 125°
Yay you beat the other team. Great job you win a victory coin(which basically is something that is absolutely nothing)
