In a triangle MNO, XA, XB and XC are perpendicular bisectors on sides MN, ON and OM respectively intersect each other at X. If ∠NMO = 55 degree, then what is the value of ∠NXO?
Answer & explanation
Correct answer: option 2
∠NMO = 55°
We have a concept =If O is the circumcenter of the △ABC then the angle made at the circumcenter by joining any two vertices of the triangle is twice the angle at the third vertex of the triangle.
So, ∠NXO = 2 × ∠NMO
∠NXO = 2 × 55°
∠NXO = 110°