the measures of two angles of an isosceles triangle are 3x+4 degrees and x+17 degrees.find the value(s) of x. consider and explain all options.
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Three possibilities that come to mind are
(a) 6x + 8 + x + 17 = 180,
(b) 3x + 4 + 2x + 34 = 180,
(c) 3x + 4 = x + 17.
In case (a), we have 7x + 15 = 180, so x = 165/7 = 23 4/7
In case (b), we have 5x + 38 = 180, so x = 142/5 = 28.4
In case (c), we have 2x = 13, so x = 6.5
(a) 6x + 8 + x + 17 = 180,
(b) 3x + 4 + 2x + 34 = 180,
(c) 3x + 4 = x + 17.
In case (a), we have 7x + 15 = 180, so x = 165/7 = 23 4/7
In case (b), we have 5x + 38 = 180, so x = 142/5 = 28.4
In case (c), we have 2x = 13, so x = 6.5