Question

Determine o valor de x nos casos:

Answer 1

Boa tarde

pentágono Si = (5 - 2)*180 = 540°
hexágono Si = (6 - 2)*180 = 720

a)

3x + 210 = 540
3x = 330
x = 110

b)

3x + 20 +30 + 130 + 120 + 150 = 720
3x + 450 = 720 
3x = 270 
x = 90

c)

90 + x + 180 - x/2 + x - 30 + 180 - x + 60 = 540 

x/2 + 480 = 540 
x/2 = 60
x = 120

d) como AB // ED A + B = 180

180 + x + 20 + 90 + x + 10 = 540   
2x + 300 = 540 
2x = 240
x = 120 

Answer 2

a)
S=180°(n-2)
S=180(5-2)
S=180.3
S=540°

105×2=210°

540-210=330°

3x=330
x=110°

b)
S=180×4
S=720°

(x+20)+(x+30)+130+120+150+x=720
3x=720-450
3x=270
x=90°

c)
S=540°

x-60+a=180
x+a=240
a=240-x

x/2+b=180
(2b+x)/2=180
2b+x=360
2b=360-x
b=(360-x)/2

(240-x)+(360-x)/2+(x-30)+x+90=540°
480-2x+360-x+2x-60+2x+180=1080
x=120°

d)
S=540°

90+90+90+(x+20)+(x+10)=540°
2x=240
x=120°