Question

calcula el numero de lados de un poligono regular si tiene dos lados mas que otro,pero su angulo central mide 30° menos que la medida del otro
URGENTEEEE!!

Answer 1

Respuesta:

${n_{1} = 6$

Explicación paso a paso:

$n_{1} = n_{2} +2$

$c_{1} = c_{2} - 30$

$\frac{360}{n_{1}} = \frac{360}{n_{2}}-30$

$\frac{12}{n_{1}} = \frac{12}{n_{2}}-1$

${12}{n_{2}} = {12n_{1}} -({n_{1}}{n_{2}})$

${12}({n_{1}-2)} = {12n_{1}} -{n_{1}}({n_{1}-2})$

${12{n_{1}-24} = {12n_{1}} -{n_{1}^{2} }+{2n_{1}}$

${n_{1}^{2} }-{2{n_{1}-24} = 0$

${n_{1} ---> -6$

${n_{1} ---> 4$

${n_{1} = 6$

${n_{1} = -4$