Question

Question 95

Measures (in degrees) of two complementary angles are two consecutive even integers. Find the angles.

Answer 1

Let the two consecutive angles be x and x +2. Since both angles are complementary . So, their sum will be ${90}^{\circ }$
$\therefore x+(x+2)={90}^{\circ }\Rightarrow x+x+2={90}^{\circ }\Rightarrow 2x={90}^{\circ }-2\Rightarrow 2x={88}^{\circ }\Rightarrow x={44}^{\circ }$
Therefore the angles are ${44}^{\circ }and{44}^{\circ }+2={46}^{\circ }$