To find the measure of the complementary angle, we'll follow these steps:
1. Understand the concept of complementary angles: Two angles are complementary if the sum of their measures is 90 degrees.
2. Identify the given angle: We are given that the measure of the angle is 20 degrees.
3. Set up an equation: The sum of the measures of the given angle and its complementary angle is 90 degrees. If we let [tex]\( x \)[/tex] represent the measure of the complementary angle, then we can write the equation as:
[tex]\[
20 + x = 90
\][/tex]
4. Solve for [tex]\( x \)[/tex]: Subtract 20 from both sides of the equation to isolate [tex]\( x \)[/tex]:
[tex]\[
x = 90 - 20
\][/tex]
5. Calculate the result: Perform the subtraction:
[tex]\[
x = 70
\][/tex]
Therefore, the measurement of the complementary angle is [tex]\( 70^{\circ} \)[/tex].
