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- (i) 90° (Two angles are called complementary if their measures add to 90 degrees)
(ii) Right angles or 90°
(Two angles are called supplementary if their measures add to 180
degrees, 90° + 90° = 180°)
(iii) Acute angles
( Since acute angle < 90°, ∴ Acute angle + Acute angle = 90° ; Thus,
acute angles can be complementary)
(iv) 45° ( 180° - 135° 45°)
2. Two angles are called complementary if their measures add to 90 degrees and are called supplementary if their measures add to 180 degrees.
- 17°,83° ( 17° + 83° = 100° ≠ 90° and ≠ 180° ) ∴ 17°,83° are neither complementary, nor supplementary
- 32°,58° ( 32° + 58° = 90°) ∴ 32°,58° are complementary
- 146°,34° ( 146° + 34° = 180° ) ∴ 146°,34° are supplementary
- 45°, 45° ( 45° + 45° = 90°) ∴ 45°,45° are complementary
3. (a) 90° - 25° = 65°
(b) 90° - 41° = 49°
4. (a) 180° - 166° = 14°
(b) 180° - 64° = 116°
Hope you got that.
Thank You.
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