on your own: exterior angles of a triangle\nenter your answer in the box.\n$x = \\square$

Explanation:

Step1: Find adjacent interior angle to 146°

The interior angle and 146° are supplementary, so: $180^\circ - 146^\circ = 34^\circ$

Step2: Find adjacent interior angle to $x^\circ$

First, use the triangle angle sum theorem. Let the unknown interior angle be $y^\circ$: $112^\circ + 34^\circ + y^\circ = 180^\circ$ $y^\circ = 180^\circ - 112^\circ - 34^\circ = 34^\circ$

Step3: Calculate $x$ using supplementary angles

$x^\circ$ and $y^\circ$ are supplementary, so: $x^\circ = 180^\circ - 34^\circ$

Answer:

$146$