Use the Triangle Sum Property to solve for x. Use the value of x to find the angle measures of the triangle.
20, 30, 130
36, 72, 72
40, 60, 80
50, 55, 75
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OpenStudy (anonymous):
jimthompson5910 (jim_thompson5910):
What do all 3 angles add to in any triangle?
OpenStudy (anonymous):
180
jimthompson5910 (jim_thompson5910):
so this means
(3x) + (2x) + (3x-20) = 180
3x + 2x + 3x-20 = 180
(3x + 2x + 3x) - 20 = 180
8x - 20 = 180
I'll let you finish
OpenStudy (anonymous):
8x - 120 = 180
8/8 = x
120 / 8 = 15
so x = 15
2x or 2(15) = 30
3x - 20 or 3(15) - 20 = 25
3x or 3(15) = 45
But that doesn't make sense , what am i doing? e.o
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jimthompson5910 (jim_thompson5910):
it's 8x - 20 not 8x - 120
OpenStudy (anonymous):
ooooh xD
OpenStudy (anonymous):
8x - 20 = 180
8/8 = x
20/8 = 2.5
so x = 2.5?
jimthompson5910 (jim_thompson5910):
8x - 20 = 180
8x - 20+20 = 180+20 ... Add 20 to both sides.
8x = 200
x = ???
OpenStudy (anonymous):
x = 25
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jimthompson5910 (jim_thompson5910):
good
jimthompson5910 (jim_thompson5910):
now you use that x value to find the 3 angles
OpenStudy (anonymous):
50, 55, 75
jimthompson5910 (jim_thompson5910):
correct
OpenStudy (anonymous):
thanks! ^_^
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