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

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- December 9th 2009, 07:32 PM4woods9th Grade Easy Triangle Question For Most
The three angles of a triangle have measures 12x degrees, 3x degrees, and 7y degrees, where 7y is greater than 60. If x and y are integers, what is the value of X?

- December 9th 2009, 07:36 PMmr fantastic
- December 9th 2009, 07:54 PMSoroban
Hello, 4woods!

Quote:

The three angles of a triangle have measures degrees, degrees,

and degrees, where . Unnecessary and confusing . . .

If and are integers, what is the value of ?

The three angles of a triangle always total 180°.

Hence: .

Since is an integer, must be a multiple of 15.

.

Therefore: .