Question

Two complementary angles differ by 12 find the angles

Answer 1

ATQ,

two complementary angles differ by 12.

let the two angles be x and y

therefore x - y = 12

➡ x = 12 + y --------(i)

we know that the sum of two complementary angles is 90°

➡ x + y = 90° --------(ii)

now, putting value of x from equation (i) in equation (ii)

➡ (12 + y) + y = 90°

➡ 2y + 12 = 90°

➡ 2y = 90 - 12

➡ 2y = 78°

➡ y = 78/2

➡ y = 39°

hence, the two complementary angles are :-

• y = 39°

• x = 12 + y = 51°

VERIFICATION :-

= 39° + 51°

= 90°

Answer 2

hello there

Step-by-step explanation:

Question: Two complementary angles differ by 12 find the angles ?

Solution:

Let the first complementary angle be = x

Also, the second angle be = y

Now , according to the condition:

$x - y = 12 - - - - (1)$

Now,

we know that :

Sum of complementary angles is =90°

Therefore:

$x + y = 90 - - - - (2)$

From Equations (1) & (2)

Putting the value of x from Equation (1) in Equation (2)

The value of x from Equation (1):

$x = y + 12 - - - - - - -$

Therefore:

$= > y + 12 + y = 90$

$= > 2y = 90 - 12$

$= > 2y = 78$

$y = 39$

Putting the value of y in Equation (1) as:

$= > x - y = 12$

Where y =39°

$= > x = 39 + 12$

$= > x = 51$

So,

■ x = 51° and y = 39°

______________________________

So, the First angle is (x) = 51°

The Second angle is (y) = 39°

☞verification:

x + y = 90°

51° + 39° = 90 ° [ hence proved ]

_______________________________

Hope it helps

Thank you!