The measure of the supplement of an angle is 60° less than four times the measure of the complement of the angle. Find the measu
re of the angle.
1 answer:
Answer:
140° and 50°
Step-by-step explanation:
The supplement of the angle (180 - x)
The complement of the angle = (90 - x)
(180 -x) = 4(90-x) - 60
180 - x = 360 -4x - 60
180 -x = 300 - 4x
180 - x + 4x = 300
180 + 3x = 300
3x = 120
x = 40
The supplement (180 - x) = 180 - 40 = 140°
The complement (90 - x) = 90 - 40 = 50°
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Step-by-step explanation:
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Step-by-step explanation:
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Answer:
45
Step-by-step explanation:
They add up to 90, so 90 - 45 = 45 degrees