Question

Find the Angle which is equal to its complement ​

Answer 1

Answer:

The answer is 90

Step-by-step explanation:

Answer 2

Question :

Find the Angle which is equal to its complement .

Answer :

$\sf\pink{Given:}$

• Two angles are complementary and one is equal to the another .

$\sf\pink{To\:find}$

• Angle which is equal to its complement

Explanation :

• let the angle be "x"

• its complement = 90 - x

Reason :

as complementary angles add up to 90, if one angle is "x" then it's complement will be 90 - x .

• it is equal to its complement therefore 90 - x = x

$\sf\\ \longrightarrow\sf{ 90 - x = x }$

$\sf\\ \longrightarrow\sf{ 90 = x + x}$

$\sf\\ \longrightarrow\sf{ 90 = 2x}$

$\sf\\ \longrightarrow\sf{x = \dfrac{90}{2}}$

$\sf\\ \longrightarrow\sf{x = 45}$

Therefore the two angles are 45 and 45