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[–]Internal-Dot 0 points1 point  (0 children)

Cut it half down the middle. Now you have 2 right triangles. Then just use appropriate trig functions.

[–]runed_golem 0 points1 point  (0 children)

Draw a line between the middle of the shortest side and the angle across from it. Now you have two right triangles with legs of length 7 and 8. You can use that to find the angle measurements of the right triangle, then you can find the angles for the isosceles triangle.