Question

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

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:

$146$