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Please help me with this problem, i need the value of x

Please help me with this problem, i need the value of x-example-1
User MockerTim
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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!
User Philip Walton
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