Answer:
Option 2. 69° is the right answer.
Step-by-step explanation:
In this question there are two tangents MN and MP drawn on a circle O and ∠PON = 111° and ∠PMN=x°
We have to find the vale of x.
As we know Radius of a circle is always perpendicular to the tangent drawn so ∠ ONM = ∠OPM = 90°
And sum of all angles of OPMN = 4×90°=360°
⇒∠ONM+∠NMP+∠MPO+∠PON = 360°
⇒ 90°+X°+90°+111°=360°
⇒ 291°+X°=360°
⇒ X° = 360°-291° = 69°
⇒ X° = 69°
