What is the measure of ∠A?

What is the measure of ∠B?

angle A=72 degrees and angle B= 108 degrees

Step-by-step 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!

29 mil

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26

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