If m<AOC = 49°, m<BOC = 2x°+10°, and m<AOB = 4x°–15° find the degree measure of BOC and AOB.

Question

Create a visually appealing, abstract graphical representation of a complex mathematical problem. In the image, include a triangle for geometry representation without any text or numbers. Show the angles in the triangle through varying color distributions and shapes. The image should reflect the abstract concept of solving for unknown angles in a given triangle but not show the specific problem attempted. Render the image in a balanced way, focusing on color harmony and unique geometric patterns.

If m<AOC = 49°, m<BOC = 2x°+10°, and m<AOB = 4x°–15° find the degree measure of BOC and AOB.

mBOC = 18°; mAOB = 31°
mBOC = 28°; mAOB = 21°
mBOC = 21°; mAOB = 28°
mBOC = 31°; mAOB = 18°

Answer 1

I assume B is between A and C. Otherwise none of the answers can fit.

AOB + BOC = AOC
4x-15 + 2x+10 = 49
6x = 54
x = 9

BOC = 28
AOB = 21

Answer 2

Option 2 is correct! m<BOC=28 degrees; m<AOB=21 degrees

Answer 3

gee, thanks for the good and insightful answer, Steve!

Answer 4

Thanks Steve, thanks Roxanne. I appreciate you guys :D you're very helpful so thanks for taking the time to stop by here and help people. Bye now!

Answer 5

It would be a bit more helpful if you put the answer WITH the letters, since not all of us have the same test.

Answer 6

I took the test these were the correct answers for me, be careful because they like to switch it up for different kids.

1. The letter on the front will be C. The letter on the back will be A.
2. They are vertical
3. (3, 2)
4. 5, 12, 13
5. If n is not the sum of two even numbers, then n is not even.
6. Subtraction Property of Equality
7. They are corresponding angles
8. 15
9. A perpendicular to a given line from a point on the line
10. Reflexive Property of =; SAS
11. <KNJ = <KLM
12. HL
13. The bisector of an angle
14. Camera 2
15. 7<n<17
16. Points V, U, and T are collinear
17. MW
18. x=20
19. m < BOC = 28 ;M < AOB = 21
20. <JGI
21. A linear pair
22. x = 13
23. 141 feet
24. 38 ft^2
25. B. (the slanted rectangle)
26. I will bring my umbrella.
27. Truth value
28. I use an umbrella if and only if it rains.
29. Vertical angles are a pair of non-adjacent angles formed by two intersecting lines.
30. If m<A = m<B and m<B = m<C, then m<A = m<C
31. 11
32. AC = HG
33. ASA; Corresponding parts of = △ are =.
34. 71
35. <FCE = <DCG
36. 8
37. The point of concurrency of the perpendicular bisectors of the sides of the triangle.
38. BD
39. D. (the dotted triangle is on the left side a little below the other triangle)
40. P'(-2, -4), Q'(5, 3), R'(1, -2)
41. 108 degrees
42. 1
43. O
44. Reduction; 1/2
45. Rotation; 180 about(-0.5, 0)

46. - 47. You're on your own.

Answer 7

A

C
C
D
B
B
B
C
D
C
C
C
C
D
C
C
B
A
B
A
C
C
C
B
D
Not sure i picked B
A
B
C
D
A
c
I picked b
im pissed so im stopping it here