n-numărul de laturi
Su-suma unghiurilor
u°- măsura unghiului
a) 60°
Su=180°(n-2)
n=Su/u° => Su=n*u°=60°*n
60°*n=180°(n-2)
60°n=180°n-360°
n=360°/120°=3 (triunghi echilateral)
b) 90°
Su=180°(n-2)
n=Su/u° => Su=n*u°=90°n
90°n=180°(n-2)
90°n=180°n-360°
n=360°/90°=4 (pătrat)
c) 120°
Su=180°(n-2)
n=Su/u° => Su=n*u°=120°n
120°n=180°n-360°
n=360°/60°=6 (hexagon regulat)
d) 144°
Su=180°(n-2)
n=Su/u° => Su=n*u°=144°n
144°n=180°(n-2)
144°n=180°n-360°
n=360°/36°=10 (decagon regulat)
KAWAIIMATH
