SOLUTION: if the measure of an angle is twenty less than the measure of its compliment what is the measure of the angle i know that complementary angles add up to 90 degrees so should I subt

Question 1036359: if the measure of an angle is twenty less than the measure of its compliment what is the measure of the angle i know that complementary angles add up to 90 degrees so should I subtract 20 from 90 degrees to get 70 degrees
Answer by macston(5194) (Show Source): You can put this solution on YOUR website!
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Let A=measure of the angle
Let B=measure of complement=A+20
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A+B=90 degrees Substitute (A+20) for B
A+(A+20)=90
2A+20=90
2A=70
A=35 The measure of the original angle is 35 degrees.
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B=A+20=35+20=55 The measure of the complement is 55 degrees.
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Let B= complement
Let A=original angle=B-20
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A+B=90 degrees
(B-20)+B=90 degrees
2B=110 degrees
B=55 degrees The complement is 55 degrees
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A=B-20=55-20=35 The original angle was 35 degrees.
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(NOTE: COMPLEMENT rather than COMPLIMENT refers to relationship of angles)
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Since you did not ask a particular question, there is no way to give a particular answer. You can subtract 20 degrees if you know what to do from there, or add 20 degrees if you know how to compute from there. The method given above may give you some understanding of the math that is happening.
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