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 Convex Quadrilateral And Intersection (Posted on 2007-10-03)
PQRS is a convex quadrilateral with diagonals PR and QS that intersect at the point T. It is known that, Angle QPR = 50o, Angle RPS = 60o, Angle RQS = 30o and Angle QSR = 25o

Determine Angle PTQ.

 See The Solution Submitted by K Sengupta No Rating

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 re: solution | Comment 3 of 8 |
(In reply to solution by Charlie)

Using Firefox now (solution was posted in IE), I'm pasting the table into the comment box:

`    Assumed PSQ     Resulting QPR        PTQ`
`  10.00000000000   88.43748013915   70.00000000000`
`  15.00000000000   76.40339332155   75.00000000000`
`  20.00000000000   67.12410354148   80.00000000000`
`  25.00000000000   60.00000000000   85.00000000000`
`  30.00000000000   54.44146394259   90.00000000000`
`  35.00000000000   50.00000000000   95.00000000000`
`  40.00000000000   46.35991910939  100.00000000000`
`  45.00000000000   43.30265221763  105.00000000000`
`  50.00000000000   40.67565190561  110.00000000000`
`  55.00000000000   38.37046283484  115.00000000000`
`  60.00000000000   36.30816333454  120.00000000000`
`  65.00000000000   34.42981391945  125.00000000000`
`  70.00000000000   32.69013629600  130.00000000000`
`  75.00000000000   31.05324821680  135.00000000000`
`  80.00000000000   29.48970527960  140.00000000000`
`  85.00000000000   27.97437254131  145.00000000000`
`  90.00000000000   26.48481555031  150.00000000000`
`  95.00000000000   25.00000000000  155.00000000000`
` 100.00000000000   23.49914579819  160.00000000000`
` 105.00000000000   21.96060874231  165.00000000000`
` 110.00000000000   20.36066781447  170.00000000000`

and changed the formatting to pre-formatted.  It looks double-spaced now.

 Posted by Charlie on 2007-10-03 12:10:28

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