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

ii. If two adjacent angles are equal, then each angle measures $90^{\circ}$

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Solution

Adjacent angles :
Two angles are adjacent angles if
(i) They have the same vertex
(ii) They have a common arm
(iii) Uncommon arms are on either side of the common arm

Given : Two adjacent angles are equal

Thus, if two adjacent angles are equal, then each angle is not surely to be $90^{\circ}$

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 $90^{\circ}$ .