Question

Determine o valor  de x:

(a)05°
(b)20°
(c)10°
(d)15°
(e)25°

Answer 1

Larissa, quando temos duas retas desta forma, os ângulos opostos são iguais. Então, basta igualar a medida dos dois ângulos e encontrar o valor de x:

$x+100 = 160-3x \\\\ x+3x = 160-100 \\\\ 4x = 60 \\\\ x = \frac{60}{4} \\\\ \boxed{x = 15 \°}$

Portanto:

$\boxed{\boxed{\text{Alternativa D}}}$

Answer 2

$\[\\\\x+100=160-3x \\\\x+3x=160-100 \\\\4x=60 \\\\ x=\frac{60}{4} \\\\\boxed{x=15}\]$