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kakasveta [241]
3 years ago
9

Calculate the measure of each exterior angle of a 90 sided regular polygon. Explain.

Mathematics
1 answer:
forsale [732]3 years ago
3 0
90 sides give us 90 angles 

sum of all inside angels is  (n-2) * 180 deg. where n is number of angels 

so one inside angle is 
(90-2)*180 deg / 90 = 88* 2 deg = 176 deg.

measure of exterior angle is 360 - 176 = 184 deg.
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Read 2 more answers
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x^2-10x+25=18 \\ \\x^2-10x+25-18 = 0\\ \\ x^2-10x+ 7 =0 \\ \\a=1 , b = -10 , c= 7 \\ \\ \Delta = b^{2}-4ac = (-10)^{2}-4*1*7=100-28 = 72 \\ \\\sqrt{\Delta }=\sqrt{72}= \sqrt{2*36} =\sqrt{36}*\sqrt{2} =6\sqrt{2}

x_{1}=\frac{-b-\sqrt{\Delta }}{2a} =\frac{10- 6\sqrt{2}}{2}=\frac{2(5-3\sqrt{2})}{2}= 5-3\sqrt{2}\\ \\x_{2}=\frac{-b+\sqrt{\Delta }}{2a} =\frac{10+ 6\sqrt{2}}{2}=\frac{2(5+3\sqrt{2})}{2}= 5+3\sqrt{2}


Answer : \ x= 5-3\sqrt{2} \ \ or \ \ x = 5+3\sqrt{2}


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