## rebecca1233 2 years ago In an isosceles trapezoid, two angles are labeled as shown. What is the value of x?

1. rebecca1233

|dw:1360347206882:dw|

2. rebecca1233

3. rajathsbhat

do you know that those two angles add up to 180 degrees?

4. rebecca1233

what is the other angel one is 132

5. rajathsbhat

2x+10

6. rebecca1233

11 15 16 19 is the answer options

7. rebecca1233

how does that add up to 180

8. rebecca1233

so how do you solve it

9. rajathsbhat

here:|dw:1360348431488:dw| you know that B+C=180 right?

10. rebecca1233

yes

11. rebecca1233

so how do i figure out the answer how do i solve this problem.

12. rajathsbhat

and A=C. Because they are alternate angles. So replacing C with A in B+C=180, we get B+A=180. There, i just proved why those two angles should add up to 180. Do you understand upto here?

13. rebecca1233

yes

14. rebecca1233

so how do i solve that problem to get the answer

15. rajathsbhat

if you write down what we just proved, you get (2x+10) + 132 = 180. Can you solve for x now?

16. rebecca1233

hmm i think so subtract 132 from 180

17. rajathsbhat

yup.

18. rebecca1233

then what

19. rebecca1233

after i subtract i get 48

20. rebecca1233

(2x+10)=48

21. rajathsbhat

2x+10 = 48. Now?

22. rebecca1233

subtract 10 from 48 ?

23. rajathsbhat

yup

24. rebecca1233

then i get 38

25. rebecca1233

then divide by 2

26. rebecca1233

so 19

27. rajathsbhat

Yup :)

28. rebecca1233

can u help m with a diff problem ?

29. rajathsbhat

okay. Just one before i go to bed.