Question 400357
It can be shown that angle 2 equals angle 3, since the diagonals of a rectangle are equal and the diagonals intersect at the diagonal. Also, the sum of two angles in a triangle equals the exterior angle of the third angle, so the measure of angle 2 plus the measure of angle 3 equals the measure of angle 4. Thus,


{{{(2x+4) + (2x+4) = 6x-16}}}


{{{4x + 8 = 6x - 16}}}


{{{2x = 24}}} --> {{{x = 12}}}