Question

Find the perimeter of triangle, O, P, Q△OPQ. Round your answer to the nearest tenth if necessary. Figures are not necessarily drawn to scale.
L
M
N
O
P
Q
48°
82°
50°
48°
82°
50°
67
65
39
x
87
52.2
Answer

Answer 1

I can solve this, but I’m missing a clear diagram/which numbers correspond to which sides/angles. The text you pasted looks garbled (many angles and numbers listed but not linked to O, P, Q). Could you either

- upload the picture of the figure, or
- type the exact given information for triangle OPQ (for example: OP = __, OQ = __, PQ = __; or OP = __, angle O = __°, angle P = __°, etc.), and indicate what x refers to?

If you want to proceed without the picture, tell me which of these applies and give the values:
- One side and two angles (so I can use the Law of Sines),
- Two sides and the included angle (so I can use the Law of Cosines),
- All three side lengths (then perimeter = sum),
- Coordinates of O, P, Q (then I can compute side lengths).

If you prefer, paste the labels as they appear in the diagram (e.g., “side OP = 52.2, angle at O = 48°, angle at P = 82°”), and I’ll compute the perimeter and round to the nearest tenth.