Assume that lines that appear to be tangent are tangent. o is the center of the circle. find the value of x. m< o = 135 (see picture down below) a) 45 b) 315 c) 270 d) 67.5

Draw an imaginary line from the vertex of angle x to the center of the circle.
This divides the 4-sided polygon into two right triangles.  For example, the upper right triangle has an acute angle whose measure is 135 degrees / 2, or 67.5 degrees, and the another acute angle whose measure is x/2.

x/2 and 67.5 degrees are complementary angles, so x/2 + 67.5 deg = 90 deg.  Thus, x/2 = 22.5 deg, and so x = 45 deg.  (answer)