Given the inscribed quadrilateral MATH.?

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Given the inscribed quadrilateral MATH.?

http://i40.photobucket.com/albums/e215/xxs3xp1stolxx/seven%20oh%20eight/Picture9.png

2007-06-18 13:14:44 · 2 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics

2 answers

The "Inscribed Quadrilateral Conjecture" tells you that the opposite angles on an inscribed quadrilateral equal 180 degrees. Therefore, from the angles you are given, you know that M + T = 180.
Given that M = 7x - 26 and T = 4x + 8,

7x - 26 + 4x + 8 = 180 =>
11x = 198 =>
x = 18

2007-06-18 13:21:32 · answer #1 · answered by sharky.mark 4 · 0⤊ 0⤋

7x-26+4x+8 = 180
11x = 198
x = 18

2007-06-18 13:27:49 · answer #2 · answered by ironduke8159 7 · 0⤊ 0⤋