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.
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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.
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
