SOLUTION: Two angles form a linear pair. The measure of the smaller angle is one quarter the measure of the larger angle. Find the measure of the smaller angle.

Question 678488: Two angles form a linear pair. The measure of the smaller angle is one quarter the measure of the larger angle. Find the measure of the smaller angle.

Answer by rm29924(97) (Show Source): You can put this solution on YOUR website!
Definition of a linear pair of angles is that they are adjacent and supplementary.
If they are supplementary their sum = 180 degrees.
let x=the larger angle
the smaller angle is 1/4x
x+1/4x=180
1 1/4x=180
1 and 1/4 is the same as 1.25
1.25x=180
x=144
the smaller angle is 1/4x
1/4(144)
36
answer: the smaller angle is 36 degrees
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