Question

If the measure of the angle is \[13^{o}\] . What is the measure of its supplement?

Answer 1

Hint:In this question, we need to find the measure of the supplement of the angle. Given that the measure of the angle is \[13^{o}\] . Two angles are said to be supplementary if their sum is equal to \[180^{o}\] . So to find the supplement of the angle put the sum equal to \[180^{o}\] . Let us consider the angle be \[x\] put \[x\] plus the given angle is equal to \[180^{o}\], and then find the value of \[x\] to solve the question.

Complete step by step solution:
Here we have to find the measure of the supplement angle. Let us consider the angle be \[x\].
We know that two angles are said to be supplementary if their sum is equal to \[180^{o}\] .
Given the measure of the angle is \[13^{o}\] .
Then \[x + 13^{o} = 180^{o}\]
On rearranging,
We get,
\[\Rightarrow \ x = 180^{o} – 13^{o}\]
On simplifying,
We get,
\[\Rightarrow \ x = 167^{o}\]
Hence we get the measure of the supplement angle is \[167^{o}\] .
The measure of the supplement angle is \[167^{o}\] .

Note:
Whenever it is asked to find out the measure of the supplement or complement of any angle then assume the angle to be \[x\] or \[y\] and then put their sum is equal to \[180^{o}\] (if they are supplementary) and \[90^{o}\] (if they are complementary), then we can find the measure of the angles. Here we have formed a linear equation in one variable in terms of \[x\] in the solution and the linear equation in one variable will have exactly one solution . We can also check if our answer is correct or not. By substituting the measure of the supplement angle in the equation formed \[x + 13^{o} = 180^{o}\]. If their sum is \[180^{o}\] , then our answer is absolutely correct.