Answer:
angle A=72 degrees and angle B= 108 degrees
Explanation:
1. the sum of the angles altogether must be 360 degrees
2. the picture shows that the two horizontal lines are the same and that the two vertical lines are the same
3. that means that 3y+27=5y-3
4. solve for y
5. 3y+27=5y-3
6. 27+3+3y=5y
7. 30+3y=5y
8. 30=5y-3y
9.30= 2y
10. 15=y
11. Then solve what each angle is by plugging in y
12. 3(15)+27 and 5(15)-3
13. Remember, the two should equal the same number
14. 72 degrees and 72 degrees
15. 72+72=144
16. The two horizontal lines equal 144 together which means because the whole figure equals 360 degrees, 360-144= the two vertical lines
17. 360-144=216
18. 216 equals the two vertical lines sum put together and since the two lines are equal, we cut 216 in half
19. 216/2= 108
20. each vertical line equals 108 and each horizontal line equals 72 degrees
21. Therefore angle A=72 degrees and angle B= 108 degrees
22. I know this was a lot of info. and I hope I helped you understand it!