Question

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 1

(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°.