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) (Show Source): You can put this solution on YOUR website!
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.
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