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

1.	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°.(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°.
Answer» (i) True: Since, the angles form a sum of 180°. (ii) False: Since, the two angles unless are on the line are necessarily equal to 90°. (iii) False: Since, acute are less than 90° and hence two acute angles cannot give a sum of 180° (iv) True: Since, sum of angles of linear pair is 180° hence, if both the angles are equal they would measure 90°.

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°.(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°.

Answer»

(i) True: Since, the angles form a sum of 180°.

(ii) False: Since, the two angles unless are on the line are necessarily equal to 90°.

(iii) False: Since, acute are less than 90° and hence two acute angles cannot give a sum of 180°

(iv) True: Since, sum of angles of linear pair is 180° hence, if both the angles are equal they would measure 90°.