Multiple Choice
If the measure of one angle is , what is the measure of its complementary angle?
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1. Measuring Angles
Complementary and Supplementary Angles
3:52 minutesProblem 19
Textbook Question
Find the measure of (a) the complement and (b) the supplement of an angle with the given measure. See Examples 1 and 3. 14° 20'
Verified step by step guidance1
Understand the definitions: The complement of an angle is what, when added to the angle, equals 90°. The supplement of an angle is what, when added to the angle, equals 180°.
Convert the given angle 14° 20' into a decimal or keep it in degrees and minutes format for calculation. Remember that 1 degree = 60 minutes.
To find the complement, set up the equation: Complement + 14° 20' = 90°. Rearrange to find Complement = 90° - 14° 20'.
To find the supplement, set up the equation: Supplement + 14° 20' = 180°. Rearrange to find Supplement = 180° - 14° 20'.
Perform the subtraction carefully, handling the minutes properly (if minutes in the angle are greater than the minutes in 90° or 180°, borrow 1 degree = 60 minutes) to find the exact measures of the complement and supplement.
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Video duration:
3mKey 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. To find the complement of a given angle, subtract the angle's measure from 90°. This concept is essential for problems involving right angles and angle pairs.
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Intro to Complementary & Supplementary Angles
Supplementary Angles
Supplementary angles are two angles whose measures add up to 180 degrees. To find the supplement of a given angle, subtract the angle's measure from 180°. This concept is important when dealing with straight lines and linear pairs of angles.
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3:35Intro to Complementary & Supplementary Angles
Angle Measurement in Degrees and Minutes
Angles can be measured in degrees (°) and minutes ('). One degree equals 60 minutes. When performing calculations, convert minutes properly and carry over values when minutes exceed 60, ensuring accurate results in angle arithmetic.
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