Question

Measures of some angles are given below. Find the measure of their complementary angle:

$56$${}^o$

Answer 1

We know, two angles are said to be complementary, if the sum of their measures is ${90}^{\circ }.$

The given angle is ${56}^{\circ }$.

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

Then,

$⟹x+{56}^o={90}^o$

$⟹x={90}^o-{56}^o$

$⟹x={34}^{\circ }$.

Hence, the complement of the given angle measures ${34}^{\circ }.$