Which of the following statements are true (T) and which are false (F)? (i) Angles forming a linear pair are supplementary.
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, and then each angle measures 90°.
(iii) Angles forming a linear pair can both the acute angles.
(iv) If angles forming a linear pair are equal, then each of these angles is of measure 90°.
2 Answers
(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°.