Question

What is the supplement of an angle that measures ${55^o}$ ?

Answer 1

Hint: Before solving the given question, we need to know two important concepts relating to the question. First, we go through the concept of a complimentary angel. The complementary angles are two angles that can be obtained by adding two angles to get the angle of right angle ${90^\circ }$. Next, the supplementary angles are two angles that can be obtained by summing two angles to get an angle of a straight line ${180^\circ }$.
 If only one supplementary angle is given, then we need to subtract the given angle from an angle of a straight line ${180^\circ }$to obtain another supplementary angle. A similar step is to be followed to find another complementary angle when only one angle is given.

Formula to be used:
The formula to find the supplementary angle when only one angle is given is as follows.
$\angle x = {180^\circ } - \angle y$
when $\angle y$ is given

Complete step-by-step answer:
Let $\angle y = {55^\circ }$be a supplementary angle which is given in the question.
To find Another supplementary angle $\angle x$.
We know that the formula to find another supplementary angle is,
$\angle x = {180^\circ } - \angle y$.
Hence, substitute the given angle in the above formula, we will get,
$\angle x = {180^\circ } - 55^\circ $ .
On solving the above equation, we have,
$\angle x = {125^\circ }$.
Hence, another supplementary angle is obtained. That is, $\angle x = {125^\circ }$.
Therefore, ${125^\circ }$is the required solution for the given question.

Note: We can verify our solution whether it is correct or not. This can be done by adding the given angle and obtained angle. When we add these two angles, we have to get ${180^\circ }$. If we get ${180^\circ }$, and then our obtained answer is correct, otherwise not. So, ${125^\circ }$is the required solution for the given question.