Complementary Angles (āĻĒā§ā§°āĻ āĻā§āĻŖ) // Adjacent complementary angles. (āϏāύā§āύāĻŋāĻšāĻŋāϤ āĻĒā§ā§°āĻ āĻā§āĻŖāĨ¤
Complementary Angles (āĻĒā§ā§°āĻ āĻā§āĻŖ)
Two angles are said to be complementary if the sum of their measures is 90°. Each angle is called the complement of the other.
āϝāĻŋ āĻĻā§āĻāĻž āĻā§āĻŖā§° āϝā§āĻāĻĢāϞ 90° āĻšāϝāĻŧ, āϏā§āĻ āĻā§āĻŖāϝā§ā§°āĻ āĻĒā§ā§°āĻ āĻā§āĻŖ (Complementary Angles) āĻŦā§āϞāĻž āĻšāϝāĻŧāĨ¤ āĻĒā§ā§°āϤāĻŋāĻā§ āĻā§āĻŖ āĻāύāĻā§ā§° āĻĒā§ā§°āĻāĨ¤
Ex 1 | āĻāĻĻāĻžāĻšā§°āĻŖ ā§§
Are 30° and 60° complementary ?
30° āĻā§°ā§ 60° āĻĒā§ā§°āĻ āύā§āĻāĻŋ ?
Solution | āϏāĻŽāĻžāϧāĻžāύ:
30° + 60° = 90°
So, they are complementary angles.
āϏā§āϝāĻŧā§, āĻāĻ āĻĻā§āĻāĻž āĻĒā§ā§°āĻ āĻā§āĻŖāĨ¤
Ex 2 | āĻāĻĻāĻžāĻšā§°āĻŖ ⧍
Adjacent complementary angles. (āϏāύā§āύāĻŋāĻšāĻŋāϤ āĻĒā§ā§°āĻ āĻā§āĻŖāĨ¤)
40° + 50° = 90°
Problem | āϏāĻŽāϏā§āϝāĻž
Find the complement of 70°. (70°-ā§° āĻĒā§ā§°āĻ āĻā§āĻŖ āύāĻŋā§°ā§āĻŖāϝāĻŧ āĻā§°āĻāĨ¤)
Solution | āϏāĻŽāĻžāϧāĻžāύ:
Complement = 90° − 70° = 20°
Ans | āĻāϤā§āϤ⧰: 20°
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MCQs
1. Two angles are complementary if their sum is ______. / āĻĻā§āĻāĻž āĻā§āĻŖā§° āϝā§āĻāĻĢāϞ ______ āĻšāϞ⧠āϏāĻŋāĻšāĻāϤ āĻĒā§ā§°āĻ āĻā§āĻŖ āĻšāϝāĻŧāĨ¤
(a) 90° (b) 180° (c) 270° (d) 360°
Ans: (a) 90°
2. Which of the following is a pair of complementary angles ? / āϤāϞ⧰ āĻā§āύāĻā§ āĻĒā§ā§°āĻ āĻā§āĻŖāϝā§ā§° ?
(a) 30°, 60° (b) 80°, 40° (c) 45°, 60° (d) 50°, 50°
Ans: (a) 30°, 60°
3. The complement of 70° is ______. / 70°-ā§° āĻĒā§ā§°āĻ āĻā§āĻŖ āĻāĻŋāĻŽāĻžāύ ?
(a) 10° (b) 20° (c) 30° (d) 40°
Ans: (b) 20°
4. If one complementary angle is 35°, the other angle is ______. / āϝāĻĻāĻŋ āĻāĻāĻž āĻĒā§ā§°āĻ āĻā§āĻŖ 35° āĻšāϝāĻŧ, āĻāύāĻā§ āĻā§āĻŖ āĻāĻŋāĻŽāĻžāύ ?
(a) 45° (b) 55° (c) 65° (d) 75°
Ans: (b) 55°
5. Adjacent complementary angles have a sum of ______. / āϏāύā§āύāĻŋāĻšāĻŋāϤ āĻĒā§ā§°āĻ āĻā§āĻŖā§° āϝā§āĻāĻĢāϞ ______āĨ¤
(a) 90° (b) 180° (c) 270° (d) 360°
Ans: (a) 90°