
Find the complement of each of the following angles \[35^\circ \]
A. \[55^\circ \]
B. \[145^\circ \]
C. \[35^\circ \]
D. None of these
Answer
496.8k+ views
Hint: Here we are asked to find the complement of the given angle. The complementary angles are nothing but the angles whose sum of the measure of angles is \[90^\circ \] and each angle is called the complement of the other. Thus, subtracting the given angle from the angle \[90^\circ \] will give us the complement angle of that.
Complete step by step answer:
It is given that the angle is \[35^\circ \] and we aim to find its complement.
As we know that the complementary angles are the angles whose sum of the measure of angles is \[90^\circ \]. Also, one angle is said to be the complement of the other.
Let \[x\] be the complement of the angle \[35^\circ \] then \[x + 35^\circ = 90^\circ \]
On solving this we will get the complement of the given angle.
\[x + 35^\circ = 90^\circ \Rightarrow x = 90^\circ - 35^\circ \]
\[ \Rightarrow x = 55^\circ \]
Thus, we get the complement of the given angle \[35^\circ \] is \[55^\circ \].
So, the correct answer is “Option A”.
Note:
We know that when the sum of the measure of two angles equals \[90^\circ \] then they are said to be complementary angles likewise when the sum of the measure of two angles equals \[180^\circ \] then they are said to be supplementary angles.
Complete step by step answer:
It is given that the angle is \[35^\circ \] and we aim to find its complement.
As we know that the complementary angles are the angles whose sum of the measure of angles is \[90^\circ \]. Also, one angle is said to be the complement of the other.
Let \[x\] be the complement of the angle \[35^\circ \] then \[x + 35^\circ = 90^\circ \]
On solving this we will get the complement of the given angle.
\[x + 35^\circ = 90^\circ \Rightarrow x = 90^\circ - 35^\circ \]
\[ \Rightarrow x = 55^\circ \]
Thus, we get the complement of the given angle \[35^\circ \] is \[55^\circ \].
So, the correct answer is “Option A”.
Note:
We know that when the sum of the measure of two angles equals \[90^\circ \] then they are said to be complementary angles likewise when the sum of the measure of two angles equals \[180^\circ \] then they are said to be supplementary angles.
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