Question

the difference in the measure of two complementary angles is 12 find the measure of the angle​

Answer 1

Answer:

Hope this will help you

Step-by-step explanation:

Let one angle be x

Then,

Its complementary angle will be =(90-x)

ATQ,

x-(90-x)=12

x-90+x=12

x+x=12+90

2x=102

x=102/2

x=51

Thus,

x=51

(90-x)=(90-51)=39

Answer 2

Given :

• The difference between the two complemento tu angels = 12°.

To Find :

• The measure of the angles.

Solution :

Let,

The one angle be x.

The complement angle be 90° – x.

First, we need to find the value of x.

Given,

The difference between the measure of two complementary angles is 12°.

That means,

⇒ x – (90° – x) = 12°

⇒ x – 90° + x = 12°

⇒ x + x – 90° = 12°

⇒ 2x – 90° = 12°

⇒ 2x = 12° + 90°

⇒ 2x = 102°

⇒ x = 102° / 2

⇒ x = 51°

So, the measure of the angles are :

The one angle = x = 51°

The complement angle = 90° – x = 90° – 51° = 39°

Hence,

The measures of the two complementary angles are 51° and 39°.

Verification :

METHOD 1 :

The sum of the both angles is 90°

We have,

• First angle = 51°
• Second angle = 39°

⇒ 51° + 39° = 90°

⇒ 90° = 90°

Hence Verified !

METHOD 2 :

The difference between the measures of both the angles is 12°.

We have,

• First angle = 51°
• Second angle = 39°

⇒ 51° – 39° = 12°

⇒ 12° = 12°

Hence Verified !