find $x$.\n$x = \\square$

Explanation:

Step1: Identify triangle interior angles

The 42° angle is a corresponding interior angle of the triangle, so the triangle has interior angles 42°, 53°, and an angle supplementary to (x^\circ).

Step2: Calculate the third interior angle

Sum of triangle angles is (180^\circ). Let the third interior angle be (y): $$y = 180^\circ - 42^\circ - 53^\circ = 85^\circ$$

Step3: Relate to (x) (supplementary angles)

(x) and (y) are supplementary (linear pair): $$x = 180^\circ - y = 180^\circ - 85^\circ$$

Answer:

95