Question

∠AOB=175°, CO⊥OB, AO⊥OD. Знайдіть ∠COD.

Answer 1

Ответ:

$\angle COD = 5^{o}$

Объяснение:

$\angle COD = \angle AOB - \angle AOC - \angle BOD \\ \angle AOB = 175^{o} \\ \angle AOC =\angle AOB - \angle BOC \\ CO \perp OB => \angle BOC= 90^{o} \\ \angle AOC=175-90=85^{o} \\ \\ \angle BOD =\angle AOB -\angle AOD \\ AO \perp OD => \angle AOD= 90^{o} \\ \angle BOD=175^{o}-90^{o}=85^{o} \\ \\ \angle COD =\angle AOB - \angle AOC - \angle BOD = \\ = 175^{o} - 85^{o} - 85^{o} = 175^{o} - 170^{o} \\ \angle COD =5^{o}$