SOLUTION: Two angles form a linear pair. The measure of one angle is 8 times the measure of the other angle. Find the measure of each angle.

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Question 211153: Two angles form a linear pair. The measure of one angle is 8 times the measure of the other angle. Find the measure of each angle.
Answer by math problem solving(30) About Me  (Show Source):
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Let the measure of the smaller angle be x.
Then the measure of the larger angle is 8x.
As the two angles form a linear pair, their sum is 180 degrees.
So
x + 8x = 180
Solving for x, we have
9x = 180
x = 20
Thus the two angles are 20 and 160 degrees respectively.