Question

दो पूरक कोणों के मापों का अंतर 40 डिग्री है। कोण ज्ञात
कीजिये?The difference of the measurements of
the two complementary angles is 40 degrees.
.
Find the angles?
140 और 40
70 और 20​

Answer 1

Given:

The difference between the measurements of the two complementary angles is 40 degrees.

To find:

The angles

Solution:

We know,

$\boxed{\bold{ Complementary \:Angles : }}$ When the sum of two angles is 90 degrees then they are complementary angles.

So, let one angle be "x°" and the other angle be "(90 - x)°".

The difference between the measurements of the two complementary angles is 40 degrees, therefore the equation will be as follows:

$x\° - (90 -x)\° = 40\°$

$\implies x\° - 90\° + x\° = 40\°$

$\implies 2x\° - 90\° = 40\°$

$\implies 2x\° = 40\° + 90\°$

$\implies 2x\° = 130\°$

$\implies \bold{x\° = 65\°}$

∴ $\bold{(90 - x)\°} = (90 - 65)\° = \bold{25\°}$

Thus, the angles are → 65° and 25°.

----------------------------------------------------------------------------------------------

Also View:

The difference in measures of two complementary angles Is 10 degree. find the measures of the two angles.

brainly.in/question/13763504

The difference between the measures of two complementary angles is 12 degrees. Find the measures of two angles.

brainly.in/question/19817944