Question 159264
    angle A is half as large as twice its supplement abgle B
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This problems expects you to know the definition of "supplement".  Two angles are supplement to each other if the sum of the two angles = 180.
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Let A = "angle A"
then
180-A = "angle B"
then from: "angle A is half as large as twice its supplement abgle B"
we get
A = (1/2)(2)(180-A)
A = 180-A
2A = 180
A = 90 degrees (angle A)
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Angle B then is:
180-A = 180-90 = 90 degrees (angle B)