Question

3. Observe a figura e determine o valor de x.

Answer 1

Explicação passo-a-passo:

Na figura observamos que a soma de todos os ângulos é 360°.

$x+40^{\circ} +2x-50^{\circ} +3x-90^{\circ} +2x+20^{\circ} =360^{\circ} \\\\8x-80^{\circ} =360^{\circ} \\\\8x=360^{\circ} +80^{\circ} \\\\8x=440^{\circ} \\\\x=\dfrac{440^{\circ} }{8} \\\\\boxed{\boxed{x=55^{\circ} }}$