1: Angles 2 & 6 + angles 3 & 7
- Angles that are on the inside of the parallel lines and on opposite sides of the transversal
2: Angle 1
- Angles in the same position but the other line
3: Alternate exterior angles
- Angles that are on the outside of the parallel lines and opposite sides of the transversal
4: Same side interior angles
- They are on the same side of the transversal and inside the parallel lines
5: Angle 2
- It is supplementary and on the inside of the parallel lines
6: Angle 4
- It is supplementary and on the outside of the parallel lines
7: 146°
- They are corresponding angles, so they are the same measurement
8: 128°
- They are supplementary angles, so 180 - 52 = 128
For 9 & 10:
- They are supplementary, so adding them together will result in 180 degrees
- (8x + 63) + (5x) = 180 -> 8x + 5x + 63 = 180 -> 13x = 117 -> x = 9
- Now we will plug it in to find the individual measurements:
9: 135°
- 8x + 63 -> 8(9) + 63 -> 72 + 63 = 135
10: 45°
- 5x -> 5 (9) = 45
I hope this helps, have a nice day! :D
