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Two angles of a triangle have the same measure and the third one is 15 degrees greater than the measure of each of the other two. Find the measure of the LARGEST angle in the triangle.

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55-55-70

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The key fact here is that (at least on a plane) the angles of a triangle add to 180 degrees. So we have three angles, of measures x, x, and x+15. We can set up the equation 3x+15 = 180. Solve for x, and figure out which of the three angles is the largest (If figuring out which of the three is largest is hard, you made a mistake somewhere.)

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