Question

If m∠O = 111, find the value of x in this figure.

Answer 1

The answer to this rather easy question is 69.

Answer 2

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°