Question

What is the measure of complementary angle of ${55}^{\circ }$?
(1) ${25}^{\circ }$
(2) ${15}^{\circ }$
(3) ${35}^{\circ }$

Answer 1

We know, two angles are complementary when they add up to ${90}^o.$

Given, measure of one complementary angle is ${55}^o.$

$\Rightarrow$ Measure of other complementary angle $={90}^o-{55}^o$ $={35}^o.$

$\therefore$ Measure of a complementary angle of ${55}^o={35}^o$.

Therefore, $\left(3\right)$ ${35}^o$ is correct.