The sum of the vertical angles is 110, find all the angles.
| January 16, 2021 | education
1. ∠AOD and ∠СОВ- vertical angles formed by straight lines СD and AB. Their sum is 110 °.
2. Considering that the vertical angles are equal (according to their properties), and their sum is 110 ° in
the condition of the problem, we calculate their value:
∠AOD = ∠СОВ = 110 °: 2 = 55 °.
2. Taking into account that the sum of the adjacent angles ∠AOD and AOC is 180 °, we calculate the degree
measure ∠AOC:
AOC = 180 ° – AOD = 180 ° – 55 ° = 125 °.
3. ∠AOS = ∠BOD as vertical. ∠BOD = 125 °.
Answer: ∠AOD = ∠СOВ = 55 °, ∠AOC = ∠BOD = 125 °.
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