Question

What is the supplementary angle to $\theta =35.6\text{ degress}$ ?

Answer 1

Hint: Here in this question we have been asked to find the supplementary angle of the given angle $\theta =35.6\text{ degress}$ for answering this question we will use the definition of supplementary angles given as the sum of the two supplementary angles is equal to the straight line angle $180{}^\circ $.

Complete step-by-step solution:
Now considering the question we have been asked to find the supplementary angle of the given angle $\theta =35.6\text{ degress}$.
From the basic concepts of angles we know that the definition of supplementary angle is given as the sum of the two supplementary angles is equal to the straight line angle $180{}^\circ $ .
Now we can say that the supplementary angle of the given angle $\theta =35.6\text{ degress}$ will be given by subtracting it from the straight line angle $180{}^\circ $ .
Hence we can say that the supplementary angle will be given as
$\begin{align}
  & \Rightarrow {{180}^{\circ }}-\theta ={{180}^{\circ }}-{{35.6}^{\circ }} \\
 & \Rightarrow {{144.4}^{\circ }} \\
\end{align}$
Therefore we can conclude that the supplementary angle of the given angle $\theta =35.6\text{ degress}$will be given as ${{144.4}^{\circ }}$.

Note: This is a very simple and easy question and can be answered accurately in a short span of time. Very few mistakes are possible in questions of this type. Similarly from the basic concepts we have been learnt about the complementary angles defined as the sum of the two complementary angles is equal to the right angle $90{}^\circ $ . The complementary angle of the given angle $\theta =35.6\text{ degress}$ is given as $ {{90}^{\circ }}-{{35.6}^{\circ }}={{54.4}^{\circ }}$ .