Step 1: Understanding Obtuse Angles.
An obtuse angle is one that is greater than 90° but less than 180°.
Step 2: Verifying the Options.
- Option (1): 89° is an acute angle (less than 90°).
- Option (2): 72° is an acute angle (less than 90°).
- Option (3): 102° is an obtuse angle (greater than 90° but less than 180°).
- Option (4): 302° is a reflex angle (greater than 180°).
Conclusion:
Therefore, the correct answer is (3) 102°.
Find the number of triangles in the given figure.

$PQ$ is a chord of length $4\ \text{cm}$ of a circle of radius $2.5\ \text{cm}$. The tangents at $P$ and $Q$ intersect at a point $T$. Find the length of $TP$.