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    Which of the following statements is false?
    Question

    Which of the following statements is false?

    A.

    Two acute angles having same vertex can make a straight line.

    B.

    One acute angle and one obtuse angle having same vertex can make a reflex angle.

    C.

    Two acute angles having same vertex can make a right angle.

    D.

    Two obtuse angles having same vertex can make a reflex angle.

    Correct option is A

    Formula Used:

    Straight angle = 180°

    Right angle = 90°

    Reflex angle: 180° < angle < 360°

    Acute angle < 90°

    Obtuse angle: 90° < angle < 180°

    Solution:

    A: Two acute angles are each less than 90°, so their sum is less than 180°. Hence, they cannot form a straight angle (180°) 

    B: Acute (<90°) + obtuse (>90°) can have sum greater than 180°, so a reflex angle is possible 

    C: Two acute angles (e.g., 30° + 60°) can sum to 90°, forming a right angle 

    D: Two obtuse angles each >90°, so their sum is >180° and <360°, which is a reflex angle 

    False statement: A

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