Answer:
4. ∠3 and ∠5
5. 75°
Step-by-step explanation:
4. Same-side interior angles.
If you look at the figure, the INTERIOR angles are those between the two parallel lines (JL and MP), these are angles #3, #4, #5 and #6. The other angles are exterior angles.
The question asks for same-side... meaning both on the left of NK or on the right side of it. So, the two sets that match this are: 3 with 5 and 4 with 6.
The last option gives you ∠3 and ∠5, so that's your answer.
That makes sense since angles 1 and 2, present in all other choices, are exterior angles.
5. If ∠4 = 75 degrees, what's the value of ∠8?
Since JL and MP are parallel lines crossed by another line (NK), we know that ∠4 and ∠8 will have the same measurement. Those two angles are located on the same position compared to each other and one of the parallel line.
So, since ∠3 = 75°, ∠8 also has to be 75°, same for their opposing angles 2 and 5. While the other angles are complements... so they're 105 degrees angles.
