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Question Number 194931 by sonukgindia last updated on 20/Jul/23

Answered by HeferH last updated on 20/Jul/23

Commented by HeferH last updated on 20/Jul/23

$$6x=2(180°-7x)$$$$3x=180°-7x$$$$10x=180°$$$$x=18°$$

Answered by MM42 last updated on 20/Jul/23

$$B=180-7x\mathrm{\&}D=180-6x$$$$\frac{AB}{sin3x}=\frac{AC}{sin7x}\mathrm{\&}\frac{AB}{sin4x}=\frac{AC}{sin6x}$$$$\Rightarrow sin3x\times sin6x=sin7x\times si4x$$$$\Rightarrow cos11x=cos9x\Rightarrow x=\frac{\pi }{10}=18✓$$$$$$

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