Question

O triplo do complemento de um angulo é 75º. A quarta parte desse angulo é?

Answer 1

$\mathbf{Sendo\ \theta\ o\ \hat{a}ngulo\ em\ quest\~ao:}\\\\ \mathrm{O\ triplo\ (3x)\ de\ \theta\ \acute{e}\ 75\º\ \to\ 3\times\theta=75\º\ \to\ \theta=\dfrac{75\º}{3}\ \to\ \boxed{\mathrm{\theta=25\º}}}\\\\ \mathrm{A\ quarta\ parte\ \bigg(\dfrac{1}{4}x\bigg)\ de\ \theta\ \acute{e}?\ \to\ \dfrac{1}{4}\times\theta=\dfrac{1}{4}\times25\º=\boxed{\mathbf{\dfrac{25\º}{4}}\ \mathrm{ou}\ \mathbf{6,25\º}}}$