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Question-186069




Question Number 186069 by TUN last updated on 31/Jan/23
Answered by HeferH last updated on 31/Jan/23
α=10°
$$\alpha=\mathrm{10}° \\ $$
Commented by HeferH last updated on 31/Jan/23
Commented by HeferH last updated on 31/Jan/23
2(120° − 4α) + 2α = 180°  240° − 6α=180°   α = ((60°)/6) = 10°
$$\mathrm{2}\left(\mathrm{120}°\:−\:\mathrm{4}\alpha\right)\:+\:\mathrm{2}\alpha\:=\:\mathrm{180}° \\ $$$$\mathrm{240}°\:−\:\mathrm{6}\alpha=\mathrm{180}° \\ $$$$\:\alpha\:=\:\frac{\mathrm{60}°}{\mathrm{6}}\:=\:\mathrm{10}° \\ $$

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