Respuesta :

The answer is 11.  First, use the fact that you have a set of parallel lines cut by a transversal.  That makes the other base angle equal 33 as well cuz of alternate interiors.  Then, use the fact that the sum of the angles that are remote to 5x = 5x.  In other words, 33 + 2x = 5x.  Solve for x = 11.  That means that the other angle inside the triangle is 125, and if x = 11 then 5x = 55.  The sum of all 4 of those angles should then equal 360 which they do!
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