Question

De a expressão geral dos ângulos congruos do angulo 1140° 970° 570° 1800°

Answer 1

$\mathsf{1140^{\circ}=3\times360^{\circ}+60^{\circ}}\\\huge\boxed{\boxed{\boxed{\mathsf{\alpha=60^{\circ}+k.360^{\circ}\,com\,k\in\mathbb{Z}}}}}}$

$970^{\circ}=2\times360^{\circ}+250^{\circ}\\\huge\boxed{\boxed{\boxed{\mathsf{\alpha=250^{\circ}+k.360^{\circ}\,com\,k\in\mathbb{Z}}}}}$

$\mathsf{570^{\circ}=1\times360^{\circ}+210^{\circ}}\\\huge\boxed{\boxed{\boxed{\mathsf{\alpha=210^{\circ}+k.360^{\circ}\,com\,k\in\mathbb{Z}}}}}$

$\mathsf{1800^{\circ}=5\times360^{\circ}+0^{\circ}}\\\huge\boxed{\boxed{\boxed{\mathsf{\alpha=0^{\circ}+k.360^{\circ}}}}}$