Find the complement of each of the following angles.\n \n \n \n \n

Hint: To find a complement of any angle we subtract the given angle from ${{90}^{\\circ }}$. We can also say if two angles are complementary then their sum will be ${{90}^{\\circ }}$.Complete step by step solution:(a) \n \n \n \n \n Given angle is ${{60}^{\\circ }}$.For finding a complement of a given angle we can subtract it from ${{90}^{\\circ }}$.So complement of given angle is ${{90}^{\\circ }}-{{60}^{\\circ }}={{30}^{\\circ }}$So we can say the complement angle of ${{60}^{\\circ }}$angle is ${{30}^{\\circ }}$.(b)\n \n \n \n \n Given angle is ${{82}^{\\circ }}$.Complement angle of ${{82}^{\\circ }}$ is ${{90}^{\\circ }}-{{82}^{\\circ }}={{8}^{\\circ }}$ Hence the complement angle of ${{82}^{\\circ }}$is ${{8}^{\\circ }}$.Note: If two angles are complement to each other then their sum should be ${{90}^{\\circ }}$. So If we need to find complement angle of any given angle we should check given angle is less than ${{90}^{\\circ }}$ or not because if given angle is greater than ${{90}^{\\circ }}$then its complement angle is not possible.