Question

calcule x nas figuras a seguir:
​

Answer 1

Resposta:

a) 110

b) 92

Explicação passo-a-passo:

soma dos angulos de um poligono

Sₙ = ( n - 2 ) 180

5 lados

S₅= 3 .180 = 540

A) x + 100 + 120 + 110 + 100 = 540

x = 110

B) x -20 + 143 + x + 143 + 90 = 540

2x = 184

x = 92

Answer 2

Soma dos ângulos internos de um polígono qualquer

$\boxed{S_{i}=(n-2).180\degree}$

a) $S_{i}=(n-2).180\degree$

$S_{i}=(5-2).180\degree$

$S_{i}=3.180\degree=540\degree$

$100\degree+110\degree+120\degree+100\degree+x=540\degree$

$x+430\degree=540\degree\\x=540\degree-430\degree$

$\boxed{\boxed{x=110\degree}}$

b)

$x-20\degree+143\degree+x+143\degree+90\degree=540\degree$

$2x+356\degree=540\degree\\2x=540\degree-356\degree\\2x=184\degree$

$x=\frac{184\degree}{2}$

$\boxed{\boxed{x=92\degree}}$