Question

Match List-I with List-II. List-I: A. Obtuse Angle, B. Straight Angle, C. Reflex Angle, D. Complete Angle. List-II: I. \(180^\circ\), II. \(360^\circ\), III. Angle between \(90^\circ\) and \(180^\circ\), IV. Angle between \(180^\circ\) and \(360^\circ\).

• A. A-IV, B-III, C-II, D-I
• B. A-III, B-I, C-IV, D-II
• C. A-II, B-IV, C-I, D-III
• D. A-I, B-II, C-III, D-IV

Hint:

Straight angle is \(180^\circ\), complete angle is \(360^\circ\), obtuse is between \(90^\circ\) and \(180^\circ\), and reflex is between \(180^\circ\) and \(360^\circ\).

Answer 1

The Correct Option is B

Step 1: Understanding the Question:
The task is to match standard geometric angle names with their defining degree ranges.

Step 2: Detailed Explanation:
Let us review the definitions of each angle listed in List-I:
• Obtuse Angle (A): An angle that is strictly greater than $90^\circ$ and strictly less than $180^\circ$. This matches description III.

• Straight Angle (B): An angle of exactly $180^\circ$ which forms a straight line. This matches description I.

• Reflex Angle (C): An angle that is greater than $180^\circ$ but less than $360^\circ$. This matches description IV.

• Complete Angle (D): An angle representing one full revolution, which is exactly $360^\circ$. This matches description II.

Step 3: Final Answer:
The matching sequence is A-III, B-I, C-IV, D-II, which corresponds to option (B).