Question 164483
    angle a and angle b form a linear pair. the measure of angle b is 10 less than twice the measure of angle a. find the measure of each angle
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Let a = measure of angle a
and b = measure of angle b
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Because the form a "linear pair" the sum of the two angles must be 180:
a + b = 180 (equation 1)
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From: "the measure of angle b is 10 less than twice the measure of angle a"
b =2a-10 
-2a + b = -10 (equation 2)
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Our equations:
  a + b = 180 
-2a + b = -10
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Using elimination method:
multiply equation 2 by a -1:
 a + b = 180 
2a - b =  10
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3a = 170
a = 56.667 deg (angle a)
or 56 2/3 deg
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Substitute this back into equation 2 and solve for b:
a + b = 180 
56.667 + b = 180 
b = 180 - 56.667
b = 123.333 deg (angle b)
or 123 1/3 deg