Answer:
x = 8
[tex] m\angle A= 30\degree[/tex]
Step-by-step explanation:
By interior angle on one side of transversal postulate.
[tex] m\angle A + m\angle B = 180\degree \\
\therefore (6x - 18)\degree + (14x + 38)\degree = 180\degree \\
\therefore (20x + 20)\degree = 180\degree \\
\therefore 20x + 20 = 180
\therefore 20x = 180 - 20\\
\therefore 20x = 160\\\\
\therefore x = \frac {160}{20}\\\\
\huge \red {\boxed {\therefore x = 8}} \\\\
\because m\angle A= (6x - 18)\degree \\
\therefore m\angle A= (6\times 8- 18)\degree \\
\therefore m\angle A= (48- 18)\degree \\
\huge \purple {\boxed {\therefore m\angle A= 30\degree}} \\[/tex]
