Answer:
82°
Step-by-step explanation:
Since, Angle A and Angle B are supplementary angles.
[tex]\therefore m\angle A + m\angle B = 180\degree \\
\therefore (4x - 30)\degree + (4x - 14)\degree = 180\degree \\
\therefore (8x-44)\degree = 180\degree \\
\therefore 8x - 44 = 180\\
\therefore 8x = 180+44\\
\therefore 8x = 224 \\
\therefore x = \frac{224}{8} \\ \huge \red{\therefore x =28} \\ \\ \because \: m\angle A = (4x - 30) \degree \\ \therefore \: m\angle A = (4 \times 28 - 30) \degree \\ \therefore \: m\angle A = (112 - 30) \degree \\ \huge \purple{ \boxed{\therefore \: m\angle A =82\degree}} \\ [/tex]
