Question

Find the measure of angle A​

Answer 1

Hi there!

»»————-　★　————-««

I believe your answer is:

`m\angle A = 32\textdegree`

»»————-　★　————-««

Here’s why:

⸻⸻⸻⸻

∠A and ∠C should be vertical angles. This means that their measurements are the same.

⸻⸻⸻⸻

`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}`

`\rule{150}{0.5}\\\rightarrow m\angle A = 4(10)-8 \\\\\rightarrow m\angle A = 40 - 8\\\\\rightarrow m\angle A = \boxed{32}`

⸻⸻⸻⸻

»»————-　★　————-««

Hope this helps you. I apologize if it’s incorrect.