The segments AB and CD intersect at point O. Point O divides these segments in half.

The segments AB and CD intersect at point O. Point O divides these segments in half. The segments BC and AD are drawn. What is the value of the angle DAO if ∠CBO = 60 °.

One of the sign of equality of triangles says: if two sides and the angle between them are equal to the corresponding sides and angle of another triangle, then the triangles are equal. Since AO = ОВ, СО = ОD, СОВ = AOD, then triangles СОВ = AOD. Therefore, the angle DAO = angle CBO = 60 °.

Answer: 60 °