Can someone help? i am stuck

Mathematics

1 answer:

ikadub [295]3 years ago

7 0

$\alpha=40^{\circ} \ , \ \beta=(x+20)^{\circ} \ , \ \gamma=(2x-30)^{\circ}\\\\\alpha+\beta+\gamma=180^{\circ}\\\\40^{\circ}+(x+20)^{\circ}+(2x-30)^{\circ}=180^{\circ}\\\\40+x+20+2x-30=180\\\\30+3x=180 \ |-30\\\\3x=150\ | : 3\\\\x=50^{\circ}$

$\beta=70^{\circ}\\\\ \gamma=2*50^{\circ}-30^{\circ}=70^{\circ}$

40+70+70=180

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Step-by-step explanation:

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