Posted by **Anonymous** on Friday, April 27, 2012 at 9:55pm.

The three angles of a triangle have measures 12x degree, 3x degree, and 7y degree, where 7y>60. If x and y are integers, what is the value of x?

- Geometry -
**Reiny**, Friday, April 27, 2012 at 11:27pm
12x + 3x + 7y = 180

15x + 7y = 180

15x + 60 < 180

15x < 120

x < 8

check:

pick a value of x,

1. x < 8 , e.g. let x = 4

then 48+12 + 7y = 180

7y = 120 , so 7y > 60 , OK!

2. x > 8 , e.g. x = 10

then 150 + 30 + 7y = 180

7y = 0 , and 7y > 60 is false

Therefore x < 8 is correct.

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