Question

An angle is 18 less than its complementary angle the measure of this angle is

Answer 1

Let the angles are x and 18° less than x° . So angles are x and ( x - 18 )°




Complimentary angles are the two angles whose sum is 90°.
As x and ( x - 18 ) are complementary angles, their sum will be 90°

x + ( x - 18 ) = 90

x + x - 18 = 90

2x - 18 = 90

x - 9 = 45

x = 54



Hence,
angles are :
x = 54°
x - 18 = 54 - 18 = 36°



Hence, 54° and 36° are the required complementary angles.

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Answer 2

$\bf{\underline{Complementary\: angles}}$ : (Two) Angles whose sum is 90°


Given : An angle is 18 less than its complementary angle.


Let, the one angle be x degree

So,

the other angle is (x - 18) degree

=> x + (x - 18) = 90°

=> 2x - 18 = 90°

=> 2x = 90 + 18

=> 2x = 108

=> x = 108/2

=> x = 54

Therefore, one angle is 54°

Other angle is (x - 18) = 54 - 18 = 36°

Hence, two complementary angles are 54° and 36°.