Question

5. What is angel 8 use picture above

Answer 1

Answer:

Angle 8 = Angle 4

Step-by-step explanation:

Answer 2

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.