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Pls help ASAP it’s number nine

Pls help ASAP it’s number nine-example-1

1 Answer

7 votes

Answer:

150°

Explanation:


Sum \:of\:angles = 360\° \\\\1/3x\° +(x-20)\° +(x-10)\° +40\° = 360\°\\\\1/3x\° +x\°-20+x\°-10+40=360\°\\\mathrm{Group\:like\:terms}\\(1)/(3)x\°+x\°+x\°-20-10+40=360\°\\\\\mathrm{Add\:similar\:elements:}\:x+x=2x\\(1)/(3)x\°+2x\°-20-10+40=360\°\\\\\mathrm{Add/Subtract\:the\:numbers:}\:-20-10+40=10\\(1)/(3)x\°+2x\°+10=360\°\\\\\mathrm{Subtract\:}10\mathrm{\:from\:both\:sides}\\(1)/(3)x\°+2x\°+10-10=360\°-10\\\\(1)/(3)x\°+2x\°=350\°\\


\mathrm{Multiply\:both\:sides\:by\:}3\\(1)/(3)x\°* \:3+2x* \:3=350\° * \:3\\Simplify\\x+6x=1050\°\\\\7x=1050\\\\(7x)/(7)=(1050\°)/(7)\\\\x =150\°

User Gundon
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