Complementary angles are two angles whose measures add up to [tex]\(90^\circ\)[/tex]. To find the measure of the complement of an angle, you subtract the given angle from [tex]\(90^\circ\)[/tex].
Here's a step-by-step approach:
1. Identify the given angle measure.
[tex]\[
\text{Given angle measure} = 38^\circ
\][/tex]
2. Recall that the sum of the measures of complementary angles is [tex]\(90^\circ\)[/tex].
3. To find the measure of the complement, subtract the given angle from [tex]\(90^\circ\)[/tex].
[tex]\[
\text{Measure of the complement} = 90^\circ - 38^\circ
\][/tex]
4. Perform the subtraction.
[tex]\[
90^\circ - 38^\circ = 52^\circ
\][/tex]
Therefore, the measure of the complement of an angle that measures [tex]\(38^\circ\)[/tex] is [tex]\(52^\circ\)[/tex].
