Question

Find the measure of an angle which is complement of itself. [2 MARKS]

Answer 1

Concept: 1 Mark
Application: 1 Mark

Let the measure of the angle be $x^{\circ }$.

Since, the sum of the measures of an angle and its complement is ${90}^{\circ }$

$x^{\circ }+x^{\circ }={90}^{\circ }$

$2x^{\circ }={90}^{\circ }$

$x^{\circ }={45}^{\circ }$