Problems & Solutions

Complementary Agnles: as soon as the sum of 2 angles is equal to 90o, castle are referred to as complementary angles. In this case, both angle are called complementary to every others. For example 30o and 60o, 40o and 50o, 20o and 70o, etc. Space complementary angle since their sum is same to 90o.

You are watching: Are two acute angles always complementary

*
Think Discuss and also Write(NCERT book – Math class – VII – web page Number – 95)

Question 1: have the right to two acute angles enhance each other?

Answer: Yes

Explanation: Acute angle are less than 90o. Safety angles space those angles whose amount is same to 90o. Thus, complementary angle are constantly acute angles. Hence, 2 acute angles have the right to be complementary.

Question 2:Can two obtuse angles enhance each other?

Answer: No

Explanation: two obtuse angle cannot complement each other. Angles higher than 90o are referred to as obtuse angles. Hence, their sum would constantly be much more than ninety degree. Thus, 2 obtuse angle cannot match each other.

Question 3: have the right to two best angles complement each other?

Answer: No

Explanation: Angle same to 90o is called right angle. Sum of two ideal angles is 180° i m sorry is double the sum of two complementary angles. Hence, the is not possible for two best angles to complement each other.

Try These:

Question 1: Which bag of complying with angles room complementary?

*
*

Solution: sum of angle in fig (i) = 70° + 20° = 90°

Hence, they space complementary.

Sum of angle in fig (ii) = 75° + 25° = 100°> 90°

Hence, they room not complementary.

Sum of angles in fig (iii)= 48° + 52° = 100°> 90°

Hence, they space not complementary.

Sum of angle in fig (iv) = 35° + 55° = 90°

Hence, they space complementary.

Question 2: What is the measure up of the complement of every of the following angles?(i) 45º (ii) 65º (iii) 41º (iv) 54º

Solution: We recognize that the sum of two complementary angle is equal to 90o.

See more: What Is 1/ 10 Of What Number Is 20, How To Calculate The Top 20 Percent

Hence;

Complementary the `45º= 90º- 45º= 45º`Complementary of `65º= 90º- 65º= 25º`Complementary that `41º= 90º- 41º= 49º`Complementary of `54º= 90º- 54º= 36º`

Question 3: The difference in the measures of two complementary angle is 12o. Uncover the actions of the angles.