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Mathematics 14 Online
OpenStudy (anonymous):

triangle jkl is congruent to triangle def , m

OpenStudy (anonymous):

|dw:1366658365562:dw|I believe this is the problem you are discussing here. What you need to do is understand that congruent triangles have the same angles, as you can probably see in the drawing. So simply transfer the one angle given in triangle jkl over to triangle def. Then you will have 2 angles for def and the third is the equation 3x+52. A triangle's angles sum to 180 degrees. So set up an equation: 180 = 36 + 64 + (3x+52) 180 = 152 + 3x 28 = 3x x =28/3 ~ 9.33

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