Задание

Луч \(\displaystyle OC\) делит развернутый угол \(\displaystyle ∠ AOB\) на два смежных угла \(\displaystyle ∠ AOC\) и \(\displaystyle ∠ BOC\) так, что угол \(\displaystyle ∠ AOC\) на \(\displaystyle 90^{\circ}\) больше угла \(\displaystyle ∠ BOC\). Чему равны углы \(\displaystyle ∠ AOC\) и \(\displaystyle ∠ BOC\)?

  • \(\displaystyle ∠ AOC=135^{\circ}\), \(\displaystyle ∠ BOC=45^{\circ}\)
  • \(\displaystyle ∠ AOC=120^{\circ}\), \(\displaystyle ∠ BOC=60^{\circ}\)
  • \(\displaystyle ∠ AOC=105^{\circ}\), \(\displaystyle ∠ BOC=75^{\circ}\)
  • \(\displaystyle ∠ AOC=120^{\circ}\), \(\displaystyle ∠ BOC=30^{\circ}\)