If TM and TN are the two tangents to a circle with center O so that MON = 105°, then MTN will be equal to:
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. 75°.
We know that,
Area of quadrilateral = 360°
⇒ ∠MON + ∠ONT + ∠OMT + ∠MTN = 360°
⇒ 105° + 90° + 90° + ∠MTN = 360°
⇒ ∠MTN = 360° - 285°
⇒ ∠MTN = 75°