## ASAPT one year ago Which of the following best describes triangle GFH? A. isosceles triangle B. acute triangle C. scalene triangle D. right triangle

1. ASAPT

2. triciaal

review triangles 2 equal sides/angles = isosceles 90 degrees = right angle 3 different lengths = scalene 3 equal sides/angles = equilateral less than 90 = acute more than 90 = obtuse

3. triciaal

the sum of the angles in a triangle = 180 degrees

4. triciaal

one approach write the expression for the sum of the angles set = 180 solve for x find the value of the angles

5. triciaal

any questions?

6. triciaal

did you get x = 6?

7. ASAPT

yes thank you very much

8. triciaal

scalene yes you are welcome

9. ASAPT

can I ask you a few more?

10. ASAPT

Identify the two remote interior angles that correspond to <5 @triciaal

11. triciaal

sum of angles on a straight line = 180 <2 + <3 = <5

12. triciaal

do you need more details?

13. ASAPT

14. triciaal

|dw:1436041967892:dw|

15. triciaal

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16. ASAPT

17. triciaal

180 -<5 = < 4 180 - (<2 + <3) = <4 <4 = <4 180 -<5 = 180 - (<2 + <3) therefore <5 = (<2 + < 3)

18. triciaal

what do you mean is the answer 42?

19. ASAPT

that's what I thought it was at first but I guess I did something totally different

20. triciaal

are you mixing the questions? for the first one the angles were 46, 42 and 92 different angles so scalene triangle

21. triciaal

for the 2nd question which interior angles have the same value as angle 5? note that angle 1 has the same value as < 5 corresponding exterior angles

22. ASAPT

2

23. triciaal

what?

24. ASAPT

angles 2 and 4 have the same value as 5

25. triciaal

no angles 2 and 3 together have the same value as angle 5

26. triciaal

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27. triciaal

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28. ASAPT

so <2 and <3 are the remote interior angles to <5

29. triciaal

yes

30. triciaal

review the post above to see the proof

31. ASAPT

ok I did that thank you I have a couple more questions

32. triciaal

you are welcome

33. moazzam07

right isosceles triangle