Question

6. m21 = 3 mZ2 = 470 m3 = N 5 52 m24 = mZ5 = #6

Answer 1

9514 1404 393

Answer:

1. 128°
2. 52°
3. 47°
4. 133°
5. 81°

Step-by-step explanation:

Alternate interior angles are congruent, so you know ...

  ∠2 = 52°

  ∠3 = 47°

The sum of angles in a triangle is 180°, so ...

  ∠5 = 180° -∠2 -∠3 = 180° -52° -47°

  ∠5 = 81°

Linear pairs are supplementary, so ...

  ∠1 = 180° -∠2 = 180° -52°

  ∠1 = 128°

  ∠4 = 180° -∠3 = 180° -47°

  ∠4 = 133°

_____

Alternate solution

To find angles 1 and 4, you could also make use of the fact that same-side interior angles are supplementary.