평행선과 각의 크기

문제

다음 그림에서 두 직선 $l$과 $m$이 서로 평행할 때, $\angle x$의 크기는 얼마인가?

\begin{tikzpicture}[scale=0.8]
\draw (-1,0) node[left] {$l$} -- (5,0);
\draw (-1,-2) node[left] {$m$} -- (5,-2);
\draw (0.5,1) -- (3.5,-3); % Transversal line

% Intersection points
\coordinate (I1) at (2,0); % Intersection with l
\coordinate (I2) at (2.75,-2); % Intersection with m

% Angle 110 degrees (upper-left interior)
% The angle between line l (left part) and transversal (down-right part)
\draw[fill=gray!20] (I1) -- ++(-0.5,0) arc (180:110:0.5cm) -- cycle;
\node at (I1) ++(-0.3,0.3) {$110^\circ$};

% Angle x (lower-right interior)
% The angle between line m (right part) and transversal (up-left part)
\draw[fill=gray!20] (I2) -- ++(0.5,0) arc (0:-70:0.5cm) -- cycle;
\node at (I2) ++(0.3,-0.3) {$x$};

\end{tikzpicture}