9514 1404 393
Answer:
- 128°
- 52°
- 47°
- 133°
- 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.
