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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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