If sum of measures of two angles is 90°, then the angles are ____.
Complementary angles
A pair of angles that sum up to 90° are called complementary Angles.
Example: 60° and 30° are complementary angles as 60°+30°=90°.
Hence, the angles are complementary.
Fill in the blanks:
(i) If two angles are complementary, then the sum of their measures is _______.
(ii) If two angles are supplementary, then the sum of their measures is _______.
(iii) Two angles forming a linear pair are _______.
(iv) If two adjacent angles are supplementary, they form a _______.
(v) If two lines intersect at a point, then the vertically opposite angles are always _______.
(vi) If two lines intersect at a point, and if one pair of vertically opposite angles are acute angles, then the other pair of vertically opposite angles are _______.
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∘.