Hi there!
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I believe your answer is:
[tex]m\angle A = 32\textdegree[/tex]
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Here’s why:
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∠A and ∠C should be vertical angles. This means that their measurements are the same.
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[tex]4x - 8 = 2x + 12\\\rule{150}{0.5}\\\rightarrow 4x - 2x - 8 = 2x - 2x + 12\\\\\rightarrow 2x -8 = 12\\\\\rightarrow 2x - 8 + 8 = 12 + 8 \\\\\rightarrow \boxed{x = 10}[/tex]
[tex]\rule{150}{0.5}\\\rightarrow m\angle A = 4(10)-8 \\\\\rightarrow m\angle A = 40 - 8\\\\\rightarrow m\angle A = \boxed{32}[/tex]
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Hope this helps you. I apologize if it’s incorrect.
