Question

Two tangents MP and NP are drawn to a circle with cenre O from an external point P. If angle MPN =78° then find angle OMN​

Answer 1

Answer:

39 degrees

Step-by-step explanation:

as shown in the diagram, angle OMN & angle MPO will be equal due to similarity of triangles

angle MPO = angle MPN/2 (<MPO = <NPO due to congruency of triangles)

hence angle OMN = angle MPO = 78/2 = 39 degrees