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

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

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

Answer

Explanation:

Step1: Find triangle's interior angle

The angle supplementary to $103^\circ$ is $180^\circ - 103^\circ = 77^\circ$.

Step2: Calculate third triangle angle

The sum of triangle angles is $180^\circ$. Let the third angle be $y$: $y = 180^\circ - 49^\circ - 77^\circ = 54^\circ$.

Step3: Relate to $x$ (vertical angles)

$x$ is vertical to $y$, so $x = y$. $x = 54^\circ$

Answer:

$54$