Find the measure of (a) the complement and (b) the supplement of an angle with the given measure. See Examples 1 and 3. 30°

Verified step by step guidance

Identify the given angle, which is 30°.

To find the complement of an angle, subtract the given angle from 90°. So, calculate 90° - 30°.

To find the supplement of an angle, subtract the given angle from 180°. So, calculate 180° - 30°.

The result from step 2 gives you the measure of the complementary angle.

The result from step 3 gives you the measure of the supplementary angle.

Verified video answer for a similar problem:

This video solution was recommended by our tutors as helpful for the problem above

Video duration:

Was this helpful?

Key Concepts

Here are the essential concepts you must grasp in order to answer the question correctly.

Complementary Angles

Complementary angles are two angles whose measures add up to 90 degrees. For any given angle, its complement can be found by subtracting the angle's measure from 90 degrees. For example, if the angle is 30 degrees, its complement would be 90 - 30 = 60 degrees.

Supplementary Angles

Supplementary angles are two angles whose measures sum to 180 degrees. To find the supplement of a given angle, you subtract the angle's measure from 180 degrees. For instance, for a 30-degree angle, the supplement would be 180 - 30 = 150 degrees.

Angle Measurement

Angle measurement is typically expressed in degrees, where a full rotation is 360 degrees. Understanding how to measure and classify angles is fundamental in trigonometry, as it allows for the identification of relationships between angles, such as complementary and supplementary angles, which are essential for solving various geometric problems.