Question

Solve for x. Figures are not necessarily drawn to scale.

q top R bottom left s bottom right and down the middle of it all is line T to U spliting it in half one half witch is TSU has a degree of 54 and 7 top 6 bottem wile QTUR is same degree but 3 bottom no top number and above it all that is a line indicating the top side is equal to X witch is the line QTS were T to S holds 7

Answer 1

I can help, but I’m not able to decipher the figure from that description. Could you clarify or upload a picture? If you can’t upload, please answer the short checklist or fill in the small ASCII template below so I know exactly which points are connected and what each number labels.

1) Which pairs of points are connected by segments? (List every segment, e.g. Q–R, Q–S, R–S, Q–T, T–S, etc.)
2) Which numbers are lengths and which are angle measures? (For example “7 on T–S means TS = 7” or “54 near angle TSU means ∠TSU = 54°”.)
3) Which segment or angle is x? (e.g. “x = length of Q–S” or “x = ∠QTS”.)
4) Are any lines parallel, perpendicular, or marked congruent? Is T–U a midpoint/median/altitude or does it bisect anything?
5) Any other given equalities or markings (e.g. top side equals x, tick marks, arcs, etc.)?

If it helps, paste a small ASCII diagram and fill in labels, for example:

Q
|
| (vertical T–U)
T
/ \
/ \
R-----S

Then annotate: TS = 7, SU = 6, ∠TSU = 54°, QTUR is congruent to TSU, x = QS, etc.

If you prefer, describe one clear sentence like: “Q is above the midpoint U of base RS. TU is perpendicular to RS. Triangles QTR and TSU are congruent. TS = 7, SU = 6, ∠TSU = 54°. Find x = length QS.” — that kind of sentence will let me solve it.

If you confirm the intended configuration I’ll solve for x step-by-step.