Straight lines AB and CD intersect at point O. Straight line k-axis of symmetry of vertical angles AOD and COB.
| April 3, 2021 | education
Straight lines AB and CD intersect at point O. Straight line k-axis of symmetry of vertical angles AOD and COB. Point E lies on line k. The degree measure of the angle COE is 35 degrees. Find the degree measure of the angle AOD.
Points O and E lie on the line k. According to the condition, the straight line k is the axis of symmetry of the COB angle, then the OE segment divides the COB angle in half, therefore there is its bisector.
Angle BOE = COE = 75, then the angle COB = 35 + 35 = 70.
The angles AOD and СOВ are vertical at the intersection of straight lines AB and BC. Therefore, the angle AOD = COВ = 70.
Answer: Angle AOD = 70.
One of the components of a person's success in our time is receiving modern high-quality education, mastering the knowledge, skills and abilities necessary for life in society. A person today needs to study almost all his life, mastering everything new and new, acquiring the necessary professional qualities.
