Question

encontre os valores de x na figura acima: ​

Answer 1

a) a soma dos ângulos deverá ser 90°.

$\mathtt{5x+15^{\circ}+20^{\circ}=90^{\circ}}\\\mathtt{5x=90^{\circ}-20^{\circ}-15^{\circ}}\\\mathtt{5x=55^{\circ^}}$

$\mathtt{x=\dfrac{55^{\circ}}{5}}\\\mathtt{x=11^{\circ}}$

b) a soma dos ângulos deverá ser 180°

$\mathtt{4x-74^{\circ}+2x+50^{\circ}=180^{\circ}}\\\mathtt{6x=180^{\circ}+24^{\circ}}$

$\mathtt{6x=204^{\circ}}\\\\\mathtt{x=\dfrac{204^{\circ}}{6}}\\\mathtt{x=34^{\circ}}$