Answer: A and D are true.
Step-by-step explanation:
Angle 2 is 70.
Find the measures of the other angles.
Step 1: Find angle 1.
As you can see, angle 2 is adjacent (next to) angle 1, and it forms a straight line, so the sum of angles 1 and 2 is 180 degrees.
x+70= 180
x= 180-70
x= 110
Angle 1 is 110 degrees.
Step 2; find angles 3 and 4.
*Vertical angles have the same measure*
as you can see, angle 3 is vertical (right opposite to) angle 1. Therefore, they both have the same length, 110 degrees.
Likewise, angle 2 is vertical to angle 4, and therefore they both measure 70 degrees.
Step 3: Find angles 6 and 5
Angle 6 has the same measure as angle 2 (70 degrees), and angle 5 has the same measure as angle 1 (110 degrees). Also, 5 is vertical to 7 (so they have the same measure), and 6 is also vertical to 8.
This is because whenever a transversal line goes a cross a parallel line, the angles will essentially be duplicates of each other. In other words: A transversal is a line that crosses 2 lines that are parallel to each other, resulting in sets of angles that are alike. You can see that this is true because:
It looks like angles 1 through 4 are in a cluster, and same with 5 through 8. When you look at the X like shape that angles 1 to 4 form is the exact same thing that you see in angles 5 to 8. I hope this was good enough for you to understand
Step 4: Find the true statements:
Angle 1: 110
Angle 2: 70
Angle 3: 110
Angle 4: 70
Angle 5: 110
Angle 6: 70
Angle 7: 110
Angle 8: 70
A. Angle 3= 110 -- True
B. Angle 4= 110 -- False
C. Angle 5= 70 -- False
D. Angle 6= 70 --- This is true
Answers: A and D
Hope this helps :)) , sorry if explanations are unclear. And brainliest would be appreciated, I worked pretty hard on this :)
