## colisv 3 years ago 5. mR = 120° and mS = 100°. Find mT. The diagram is not drawn to scale. (1 point) 20° 100° 60° 40°

1. mathstudent55

Is there a diagram?

2. BrittanyFrench

3. JaneDoe100

where is m?

4. BrittanyFrench

when I clicked on it, it said provide username and password, so i can't help with this i'm sorry

5. colisv

6. JaneDoe100

that doesn't have an m on it

7. BrittanyFrench

yupp there is no M

8. colisv

i think its suppose to be the M(measure) of angle R and Measure of angle S

9. BrittanyFrench

I was thinking that to.. hold on let me see if I can get this..

10. colisv

so T would be 120 too?

11. mathstudent55

|dw:1359136422941:dw|

12. JaneDoe100

40

13. BrittanyFrench

120 Is not a choice

14. mathstudent55

Sorry, look at the new picture. Only angle U and S are congruent.

15. mathstudent55

But you can find out what the sum of all the angles is.

16. colisv

100+100+120+t=360? 320+t=360 t=40

17. JaneDoe100

they all need to = 360 and u and s are conruent ao 100+100+120 =320 and 320+40=360

18. BrittanyFrench

exactly what he did, ya'll was going to fast for me lol

19. colisv

i dont understand why only U and S are the only congruent ones though

20. colisv

why not the other two?

21. mathstudent55

|dw:1359136520795:dw|

22. JaneDoe100

look at the pic. the sides of u and s are the same

23. mathstudent55

|dw:1359136561728:dw| You are given just these sides congruent, right?

24. colisv

oh and angle T shares different sides from angle S

25. colisv

I meant R not S

26. JaneDoe100

yes.

27. mathstudent55

Now draw a diagonal RS. |dw:1359136632967:dw|

28. colisv

Okay that makes more sense now then Thank you all!!!

29. mathstudent55

|dw:1359136676205:dw| Diagonal RS is congruent to itself. So triangle RUT and triangle RST are congruent, and by corresponding parts, angle U and S are congruent.

30. mathstudent55

|dw:1359136772891:dw| If you draw diagonal US, even though US is congruent to itself, there are no triangles that you can prove congruent. So you don't know anything about angles R and T being congruent.

31. Foxracer62

the correct answer is 40 100%

32. mathstudent55

Correct.