Question

na figura OE é bissetriz do ângulo BÔC sendo B = 3x - 15 graus EÔC = x + 25 graus calcule a medida de X
a) medida de x
b) medida do angulo BÔC​

Answer 1

a)

$\mathsf{3x-15^{\circ}=x+25^{\circ}}\\\mathsf{3x-x=25^{\circ}+15^{\circ}}\\\mathsf{2x=40^{\circ}}$

$\mathsf{x=\dfrac{40^{\circ}}{2}} \\\huge\boxed{\boxed{\boxed{\boxed{\mathsf{x=20^{\circ}}}}}}$

b)

$\mathsf{x+25^{\circ}=20^{\circ}+25^{\circ}=45^{\circ}}$

$\boxed{\boxed{\boxed{\boxed{\mathsf{A\hat{O}B=2.45^{\circ}=90^{\circ}}}}}}$