GMAT prep2?? (Geometry)
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Source: Beat The GMAT — Problem Solving |
Utilize Pythagorean theorem to see that the left triangle is a 3-4-5 and that the right triangle is 5-12-13. This means that the middle triangle is a isosceles have 2 sides being 5 and 5. This means the angles opposite of the equivalent sides are also equal, meaning the bottom left angle that is 55 degrees and the bottom right is 55 degrees as well. The sum of interior angles on a triangle always equal 180, so 180=x+55+55 resulting in x=70 degrees.
