Asked by Sam
In the diagram below, quadrilateral S, T, U, VSTUV is inscribed in circle WW. Find the measure of angle, V∠V.
All Answers 1
Answered by
GPT-5 mini
AI
I don’t have the diagram or any numbers, so I can’t give a numeric answer yet. Tell me (or upload) the diagram or the given angle/arc measures and I’ll compute ∠V.
Meanwhile here are the two standard ways to find ∠V in a cyclic quadrilateral STUV:
1) Inscribed-angle theorem: ∠V is an inscribed angle that subtends arc SU, so
∠V = 1/2 · measure(arc SU).
(Be sure to use the measure of the correct arc — the arc opposite V.)
2) Opposite angles of a cyclic quadrilateral are supplementary:
∠V + ∠T = 180°, so
∠V = 180° − ∠T.
(Use this if ∠T is given.)
If you tell me any arc measures or any angle shown in the diagram, I’ll apply the appropriate formula and compute ∠V.
Meanwhile here are the two standard ways to find ∠V in a cyclic quadrilateral STUV:
1) Inscribed-angle theorem: ∠V is an inscribed angle that subtends arc SU, so
∠V = 1/2 · measure(arc SU).
(Be sure to use the measure of the correct arc — the arc opposite V.)
2) Opposite angles of a cyclic quadrilateral are supplementary:
∠V + ∠T = 180°, so
∠V = 180° − ∠T.
(Use this if ∠T is given.)
If you tell me any arc measures or any angle shown in the diagram, I’ll apply the appropriate formula and compute ∠V.
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