Question

find the measure of angle which is complement of itself?

Answer 1

Solution is attached below in image

Answer 2

Answer:

The measure of angle which is complement of itself 45°

Step-by-step explanation:

Complementary angles:

Sum of any two angles equal to 90° is called complementary angles.

$Let\: x \: and \: (90\degree-x)\\ are \: two\: complementary\: angles.$

According to the problem given,

The measure of angle which is complement of itself.

$x = 90\degree - x$

$\implies x+x = 90\degree$

$\implies 2x = 90$

$\implies x = \frac{90}{2}$

$\implies x = 45\degree$

Therefore,

The measure of angle which is complement of itself is 45°

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