Question

1. If two complimentary angles are in the ratio 2:3 then the angles are

(a) 36,54

(b) 28,62

(c) 34,56

(d) 18,72​

Answer 1

Answer:

Option (a) is the correct answer.

Answer 2

Answer :

• The measure of the complementary angles are 36° and 54°

[ Option. (a) ] is the correct option.

Step-by-step explanation ::

To Find :-

• The complementary angles

Solution ::

Given that,

• The complementary angles are in the ratio of 2:3

As we know that,

Complementary angles measures 90°.

Assumption:

Let us assume the complementary angles as 2x and 3x,

Therefore,

• 2x + 3x = 90°

➛ 2x + 3x = 90

➛ 5x = 90

➛ x = 90/5

➛ x = 18

The angles are :-

• The measure of angle which we assumed as 2x

➛ 2x

➛ 2*18

➛ 36°

• The measure of angle which we assumed as 3x

➛ 3x

➛ 3*18

➛ 54°

The complementary angles are 36° and 54°.

Now, Verification

• 2x + 3x = 90°

By putting the value of angles,

We have,

• L.H.S = 2x + 3x
• R.H.S = 90°

Evaluating L.H.S,

➛ 2x + 3x

➛ 36 + 54

➛ 90

Therefore,

• L.H.S = 90
• R.H.S = 90

Hence, Verified!