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Question Number 68132 by mr W last updated on 05/Sep/19

Commented by kaivan.ahmadi last updated on 05/Sep/19

$$a+\beta +\theta =180\left(1\right)$$$$\alpha +\beta -a=0\left(2\right)$$$$2\alpha -2\theta +b=0\left(3\right)$$$$\left(3\right)-\left(2\right):\alpha -2\theta -\beta +(a+b)=0\Rightarrow 2\theta +\beta -\alpha =120\left(4\right)$$$$\left(1\right)-\left(2\right):2a+\theta -\alpha =180$$$$\left(1\right)+\left(3\right):2\alpha +\beta -\theta +(a+b)=180\Rightarrow 2\alpha +\beta -\theta =60\left(5\right)$$$$2\left(5\right)+\left(4\right):3\alpha +3\beta =240\Rightarrow \alpha +\beta =80\left(6\right)$$$$from\left(2\right)and\left(6\right)wehave80-a=0\Rightarrow a=80$$$$$$

Commented by mr W last updated on 06/Sep/19

$$thankyou!$$

Commented by TawaTawa last updated on 06/Sep/19

$$\mathrm{Great},\mathrm{God}\mathrm{bless}\mathrm{you}\mathrm{sir}.\mathrm{I}\mathrm{understand}$$

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