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.
Find the unknown frequency if 24 is the median of the following frequency distribution:
\[\begin{array}{|c|c|c|c|c|c|} \hline \text{Class-interval} & 0-10 & 10-20 & 20-30 & 30-40 & 40-50 \\ \hline \text{Frequency} & 5 & 25 & 25 & \text{$p$} & 7 \\ \hline \end{array}\]
Two concentric circles are of radii $8\ \text{cm}$ and $5\ \text{cm}$. Find the length of the chord of the larger circle which touches (is tangent to) the smaller circle.