Question

Na figura dada, sendo r//s, o valor de x+y é:

Answer 1

Temos na figura ÂNGULOS CONGRUENTES:

$Resolu\c{c}\~ao \to \left\{\begin{array}{ccc}2x =3x-20^o \\\\2x-3x=-20^o\\\\-x = -20^o\\\\\boxed{\boxed{x = 20^o}}\end{array}\right$

E OPOSTOS PELO VÉRTICE:

$Resolu\c{c}\~ao \to \left\{\begin{array}{ccc}y+10^o = 3x-20^o\\\\y+10^o = 3*20^o-20^o\\\\y+10^o = 60^o-20^o\\\\y = 40^o-10^o\\\\\boxed{\boxed{y = 30^o}}\end{array}\right$

$Resposta \to \boxed{\boxed{x+y = 20^o+30^o = 50^o}} \to Letra\ C$

Espero ter ajudado. =^.^=