Lines AB and CD meet at point O and the sum of the angles AOD u COB is 230 ° What is the angle AOC?
| September 29, 2021 | education
1. ∠AOD = ∠ВОС as vertical.
∠АД + ∠ВОС = 230 ° (according to the problem statement).
∠AOD = ∠ВОС = 230 °: 2 = 115 °.
2. The sought AOC is adjacent to the corners AOD and ∠BOC.
3. The total value of two adjacent angles, according to their properties, is 180 °:
AOS + AOD = 180 °.
АС = 180 ° – ∠АВ = 180 ° – 115 ° = 65 °.
Answer: ∠АOC is equal to 65 °.
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