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

#6

9514 1404 393

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.

hi,

you half the rectangle that you ae asking about so then you would see the scale factor of 1/2 the one u have selected, the one on top is half.

hope this !