Question

9. Can two angles be supplementary, if both of them are
a) acute
b) right. ​

Answer 1

Answer:

Sum of two acute angles cannot make a supplementary angle. As we know that obtuse angle is always greater than 900. So, the sum of two obtuse angles always makes greater than 1800. Sum of two right angles always makes a supplementary angle.

Step-by-step explanation:

Answer 2

Brief Info :-

★ Supplementary angles are those angles whose sum is equal to 90°

★ Complementary angles are those angles whose sum is equal to 90°

★ Examples of Supplementary angles are60° + 120° = 180°

★ Examples of complementary angles are 60° + 30° = 90°

Now, Let's solve the question

Solution (a)

According to the question,

We have to tell that Can be two acute angles be supplementary angles.

★ Acute angles are those angles whose measurement is less than 90°

Let's take two examples of acute angles,

One is 70° and Other one is 80°

Let's add both the acute angles

70° + 80° = 150°

150° ≠ 180°

Hence, The acute angles can't be supplementary .

Solution (b)

According to the question,

We have to tell that , Can be two right angles be supplementary.

★ Right angles are those angles whose measurement is equal to 90° not more than it or not less than it.

Let's take two examples of Right angle ,

One = 90° , Other = 90°

Let's add both the angles

90° + 90° = 180°

180° = 180°

Hence, The two right angles be supplementary$.$