Question

Determină ce poligon regulat are măsura unui unghi egala cu
a)60°
b)90°
c)120°
d)144°​

Answer 1

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