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Chapter 4: Problem 54

Find (if possible) the complement and supplement of each angle. (a) \(46^{\circ}\) (b) \(93^{\circ}\)

Short Answer

Expert verified
The complement and supplement of \(46^{\circ}\) are \(44^{\circ}\) and \(134^{\circ}\) respectively. The complement of \(93^{\circ}\) does not exist, but the supplement is \(87^{\circ}\).

Step by step solution

01

Finding the complementary and supplementary Angle for \(46^{\circ}\)

To find the complement of an angle, subtract the given angle from 90. For a complement, it鈥檚 \(90 - 46 = 44^{\circ}\). To find the supplement, subtract the angle from 180. For a supplement, it鈥檚 \(180 - 46 = 134^{\circ}\).
02

Finding the complementary and supplementary Angle for \(93^{\circ}\)

Since 93 degrees is larger than 90 degrees, a complement does not exist. However, a supplement can be found by subtracting the given angle from 180. For a supplement, it鈥檚 \(180 - 93 = 87^{\circ}\).

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