Question

Os triângulos ABC e EDC são congruentes.
Então X+Y é igual a:

a)10
b)11
c)13
d)15

Answer 1

$\text{Primeiramente encontraremos os valores de 'x' e 'y'.}\\\\\\3y+1=16\\\\3y=16-1\\\\3y=15\\\\y=\dfrac{15}{3}\\\\\boxed{y=5}\\\\\\2x+1=13\\\\2x=13-1\\\\2x=12\\\\x=\dfrac{12}{2}\\\\\boxed{x=6}\\\\\\\\x+y=\ ?\Longrightarrow{y}+x=5+6\Longrightarrow\boxed{\boxed{y+x=11}}\\\\\text{Alternativa b).}$