Question

ME AJUDAAAAAAAAAAA 4-sabendo que a medida do ângulo AÔB é 180° , determine a) o valor de x : b) a medida do ângulo AÔC : c) a medida do ângulo BÔC :

Answer 1

Explicação passo-a-passo:

a)

$\sf x+50^{\circ}+3x+10^{\circ}=180^{\circ}$

$\sf 4x+60^{\circ}=180^{\circ}$

$\sf 4x=180^{\circ}-60^{\circ}$

$\sf 4x=120^{\circ}$

$\sf x=\dfrac{120^{\circ}}{4}$

$\sf x=30^{\circ}$

b)

$\sf A\hat{O}C=x+50^{\circ}$

$\sf A\hat{O}C=30^{\circ}+50^{\circ}$

$\sf A\hat{O}C=80^{\circ}$

c)

$\sf B\hat{O}C=3x+10^{\circ}$

$\sf B\hat{O}C=3\cdot30^{\circ}+10^{\circ}$

$\sf B\hat{O}C=90^{\circ}+10^{\circ}$

$\sf B\hat{O}C=100^{\circ}$