Which of the following statements are true (T) and which are false (F) ?

iii. Angles forming a linear pair can both be acute angles

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Solution

To check : Angles forming a linear pair can both be acute angles.

If one angle measures less than $90^{\circ}$ then the other angle must measure greater than $90^{\circ}$ in order to form a linear pair.

Thus, angles forming a linear pair can both never be acute angles.

Hence, the given statement is false.

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Similar questions

Which of the following statements are true., (T) and which are false (F)?

(i) Angles forming a linear pair are supplementary.
(ii) If two adjacent angles are equal, then each angle measures $90^{\circ}$ .
(iii) Angles forming a linear pair can both be acute angles.
(iv) If angles forming a linear pair are equal, then each of these angles is of measure $90^{\circ}$ .