SOLUTION: one angle is 4 degrees more than three times another. find the measure of each angle if a. they are complements of each other b. they are supplements of each other how d

Algebra ->  Customizable Word Problem Solvers  -> Geometry -> SOLUTION: one angle is 4 degrees more than three times another. find the measure of each angle if a. they are complements of each other b. they are supplements of each other how d      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 620937: one angle is 4 degrees more than three times another. find the measure of each angle if
a. they are complements of each other
b. they are supplements of each other
how do you solve this problem?
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
Let the measure (in degrees) of the smaller angle be x.
The measure of the larger angle is 3x+4 (4 degrees more than 3 times x).

a) If the angles are complements of each other, their measures add up to 90 degrees, so
x%2B%283x%2B4%29=90 --> 4x%2B4=90 --> 4x=90-4 --> 4x=86 --> x=86%2F4 --> highlight%28x=21.5%29 is the measure of the small angle and 90-21.5=highlight%2867.5%29 is the measure of the larger angle (in degrees).

b) If the angles are supplements of each other, their measures add up to 180 degrees, so
x%2B%283x%2B4%29=180 --> 4x%2B4=180 --> 4x=180-4 --> 4x=176 --> x=176%2F4 --> highlight%28x=44%29 is the measure of the small angle and 180-44=highlight%28136%29 is the measure of the larger angle (in degrees).