# If two angles of an equilateral triangle are x+y and 2x-3y, what is x and y equal to?

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- sepiaLv 710 months ago
Two angles of an equilateral triangle are x + y and 2x - 3y.

x + y = 2x - 3y = 60°

x - 4y = 0°

x = 4y

y = 60° - (x or 4y)

x = 48 and y = 12

- az_lenderLv 710 months ago
x + y = 60 deg, and

2x - 3y = 60 deg, so

2(60 - y) = 3y + 60 =>

y = 12 deg, x = 48 deg.

- PuzzlingLv 710 months ago
All the angles in an equilateral triangle are 60°.

x + y = 60

2x - 3y = 60

I'd triple the first equation, then add them:

3x + 3y = 180

2x - 3y = 60

------------------

5x = 240

x = 240/5

x = 48

Then it's simple to find y using either equation:

x + y = 60

48 + y = 60

y = 60 - 48

y = 12

Answer:

x = 48

y = 12

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