Question

observando a figura e considerando a=x+100°;b=x;c=x+110° e d=2x, quais os valores de a,b,c,d

Answer 1

a=x+100° ==> 30°+100°==> 130°
b=x ==> 30°
c=x+110° ==> 30°+110°==> 140°
d=2x ==> 2*30° ==> 60°


x+100°+x+x+110°+2x= 360°

x+x+x+2x= 360° - 100° -110°

5x = 150°
  x = 30°

Answer 2

a=x+100°
b=x
c=x+110°
d=2x$a+b+c+d=360 \\ \\ x+100+x+x+110+2x=360 \\ \\ 4x+210=360 \\ \\ 5x=360-210 \\ \\ 5x=150 \\ \\ x=150\div5 \\ \\ x=30$

Logo
a⇒x+100=30°+100°=130°

b⇒x=30°

c⇒x+110°=30°+110°=140°

d⇒2x=2(30°)=60°