Question

Find the complement and supplement of ${75^0}$.

Answer 1

Hint: First we will calculate complement angle and then behalf of the complement angle, we will calculate supplement of angle ${75^0}$.By using the Formula: Sum of two angles is complementary and supplementary


Complete step by step solution:-
We know that if two angles are complementary, their Sum is ${90^0}$
So,
$Angle\,\,1 + Angle\,\,2 = {90^0}$
One angle$ = {75^0}$,we have
${75^0} + Angle\,\,2 = {90^0}$
$Angle\,\,2 = {90^0} - {75^0}$
$Angle\,\,2 = {15^0}$
So, complement of ${75^0}$is ${15^0}$
As we know that if two angles are supplementary their sum is ${180^0}$
$Angle\,\,1 + Angle\,\,2 = {180^0}$
 One angle$ = {75^0}$,we have
${75^0} + Angle\,\,2 = {180^0}$
$Angle\,\,2 = {180^0} - {75^0}$
$Angle\,\,2 = {105^0}$
So, The complement angle and Supplement angle are ${75^0}$and ${105^0}$respectively.


Note: If one angle is given then we calculate other angle, Subtract from ${90^0}$ for complement angle and subtract from ${180^0}$ for supplement angle