Answer: x = 28
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Step-by-step explanation:
The quadrilateral shown is a kite since we have adjacent sides that are the same length (due to the similar tickmarks). The diagonals of any kite intersect to form a 90 degree angle.
The triangle in the lower left corner has the three angles of
Those three interior angles must add to 180. This is true of any triangle.
90+(x+6)+(2x) = 180
3x+96 = 180
3x = 180-96
3x = 84
x = 84/3
x = 28