Question

EXERCISE 5.1
1. Find the complement of each of the following angles:
63°
57°
200°​

Answer 1

Correct Question :-

Find the complement of each of the following angles:

• 63° = 27°
• 57° = 33°
• 20° = 70°

Answer :-

The complement of the angles are :-

Step-by-step explanation:

To Find :-

• The complement.

★ Solution

Given angles, which is required to be find :-

63°, 57° and 20°

We know,

The sum of two angles which measures 90° are called complementary angle.

According the question,

• The complement of 63°

Let us assume the complement of 63° as (x) :-

⇒ 63° + x = 90°

⇒ x = 90° - 63°

⇒ x = 27°

• The complement of 57°

Let us assume the complement of 57° as (x) :-

⇒ 57° + x = 90°

⇒ x = 90° - 57°

⇒ x = 33°

• The complement of 20°

Let us assume the complement of 20° as (x) :-

⇒ 20° + x = 90°

⇒ x = 90° - 20°

⇒ x = 70°

Hence,

The complements of 63°, 57° and 70° are 27°, 33° and 70°.

Answer 2

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1. 63°

We know that,

If two angles are complementry There sum is 90°

So,

Angle 1 + Angle 2= 90°

63° + Angle 2 = 90°

Angle 2= 90°-63°

Angle 2 = 27°

So, The complementry angle of 63° is 27°

2. 57°

We know that,

If two angles are complementry There sum is 90°

So,

Angle 1 + Angle 2= 90°

57° + Angle 2 = 90°

Angle 2= 90°-57°

Angle 2= 33°

So, The complementry angle of 57° is 33°

3. 200°

We know that,

If two angles are complementry There sum is 90°

So,

Angle 1 + Angle 2= 90°

200° + Angle 2 = 90°

Angle 2= 90°-200°

Angle 2 = 180°

So, The complementry angle of 200° is 180°

Hope that helps..!!