Question

Write the measure of supplementary angle of the given angle : ${47^ \circ }$

Answer 1

Hint:
When two angles a and b add up to ${180^ \circ }$ then they are known to be supplementary angles and we are given one angle and subtracting it from ${180^ \circ }$ we get its supplementary angle.

Complete step by step solution:
We are asked to find the supplementary angle of ${47^ \circ }$
When the sum of two angles is ${180^ \circ }$ then the angles are said to be supplementary angles .
If angles a and b add to ${180^ \circ }$ then they are known as supplementary angles.
$ \Rightarrow a + b = {180^ \circ }$
And we are given that one of the angles is ${47^ \circ }$
$
   \Rightarrow {47^ \circ } + b = {180^ \circ } \\
   \Rightarrow b = {180^ \circ } - {47^ \circ } = {133^ \circ } \\
$

Hence the supplementary angle of ${47^ \circ }$ is ${133^ \circ }$

Note:
Like supplementary angles , when two angles sum upto to ${90^ \circ }$ then they are known as complementary angles. Supplementary angles always form a straight line.