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Please help asap! Thank you so much!

Please help asap! Thank you so much!-example-1
User LiranC
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1 Answer

6 votes

Answer:

90°

Explanation:


Sum\:of\:angles\:= 540\°\\\\b + (b+45)+90+(2b-90)+(3)/(2)b =540 \\\\Expand\: the \: brackets \\b\°+b\°+45\°+90+2b\°-90\°+(3)/(2) b=540\\\\Collect \:like\:terms\:and\:simplify\\b\°+b\°+2b\°+(3)/(2) b +45+90-90\°=540\°\\\\4b\° + (3)/(2) b\° +45\° = 540\°\\\\(11)/(2) b = 540\°-45\°\\(11b)/(2) = (495)/(1)\\ Cross\:Multiply\\11b = 49\°5* 2\\11b = 990\°\\Divide \:both\:sides\:of\:the\:equation\:by \:11\\(11b)/(11) = (990)/(11)\\ \\b = 90\°

User General
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