SOLUTION: An angle measures 64° more than the measure of a supplementary angle. What is the measure of each angle?
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Question 1015454
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An angle measures 64° more than the measure of a supplementary angle. What is the measure of each angle?
Answer by
macston(5194)
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S=supplementary angle; A=angle=S+64 degrees
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angle + supplementary angle = 180 degrees
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A+S=180
(S+64)+S=180
2S=116
S=58
ANSWER 1: The supplementary angle measures 58 degrees.
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A=S+64=58+64=122
ANSWER 2: The angle measures 122 degrees.
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CHECK:
A+S=180
122+58=180
180=180