The exterior angle of a regular polygon is 2x, and the interior angle is 4x.Find the measure of one interior and exterior angle.

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Answer:   Answer:   huge star  underline{  boxed{  purple{Answer}}} star⋆Answer⋆   frac{1}{x :+ :4} :+ : frac{1}{2} := : frac{1}{x :+ :4}x+41+21=x+41   frac{2 :+ :(x :+ :4)}{2(x :+ :4} := : frac{1}{x :+ :4}2(x+42+(x+4)=x+41   frac{6 :+ :x}{2x :+ :8} := : frac{1}{x :+ :4}2x+86+x=x+41   red{On :cross :multiplying :=}Oncrossmultiplying=  (6 :+ :x)(x :+ :4) := :2x :+ :8(6+x)(x+4)=2x+8   blue{Opening :brakets :=}Openingbrakets=  6x :+24 :+ :x^{2} :+ :4x := :2x :+ :86x+24+x2+4x=2x+8  x^{2} :+ :10x :+ :24 := :2x :+ :8x2+10x+24=2x+8  x^{2} :+ :10x :- :2x+ :24 :- :8 := :0x2+10x−2x+24−8=0  x^{2} :+ :8x :+ :16 := :0x2+8x+16=0  x^{2} :+ :4x :+ :4x :+ :16 := :0x2+4x+4x+16=0  x(x :+ :4) :+ :4(x :+ :4) := :0x(x+4)+4(x+4)=0  (x :+ :4) :+ :(x :+ :4) := :0(x+4)+(x+4)=0   green{Therefore :,}Therefore,  x := :-4 :, :-4x=−4,−4  -4 := : green{non :extraneous :variable}−4=nonextraneousvariable  Step-by-step explanation:   huge mathcal pink{Hope  : it  : helps  : you}Hopeithelpsyou   huge mathcal pink{friend}friend

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ABC + BC.
57. In AABC, if ZB = 90°, then find the missing quantities in the following table which
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