Question

Calcule o valor de x nos triangulos a seguir

Answer 1

A soma dos ângulos internos tem que ser igual a 180° então
A) 90°+45°+x=180°
X=45°
B)3x=180
X=60°
C)x+x+1+x+2=180
3x=177
X=59

Answer 2

$\large \boxed{ \begin{array}{l} \rm \:x + 90 {}^{ \circ} + 45 {}^{ \circ} = 180 {}^{ \circ} \\ \\ \rm \: x + 135 {}^{ \circ} = 180 {}^{ \circ} \\ \\ \rm \: x = 180 {}^{ \circ} - 135 {}^{ \circ} \\ \\ \boxed{ \rm{x = 45 {}^{ \circ} }}\end{array}}$

$\large \boxed{ \begin{array}{l} \rm \: x + x + x = 180 {}^{ \circ} \\ \\ \rm \: 3x = 180 {}^{ \circ} \\ \\ \rm \: x = \dfrac{180 {}^{ \circ} }{3} \\ \\ \boxed{ \rm{x = 60 {}^{ \circ} }}\end{array}}$

$\large \boxed{ \begin{array}{l} \rm \: x + x + 1 + x + 2 = 180 {}^{ \circ} \\ \\ \rm \: 3x + 3 = 180 {}^{ } \\ \\ \rm \:3 x =180 - 3 \\ \\ \rm \: 3x = 177 \\ \\ \rm \: x = \dfrac{177}{3} \\ \\ \boxed{ \rm{x = 59 {}^{ \circ} }} \end{array}}$