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Question 644889: 1The measure of Angels of a triangel are 3 consecutive integers. Find the measure of the three angels.
2. Two angels are supplementary if their sum is 180 degrees. One angle measure four times the measure of an angel supplementary to it. Find the measure of the angle.
3. The measure of the angles of a trapezoid are 4 consecutive odd integers. Find the integers.
Found 2 solutions by stanbon, sachi:
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! 1The measure of Angels of a triangel are 3 consecutive integers. Find the measure of the three angels.
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1st x-1
2nd: x
3rd: x+1
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Equation:
sum = 180 degrees
3x = 180 degrees
x = 60 (2nd)
x-1 = 59 (1st)
x+1 = 61 (3rd)
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2. Two angels are supplementary if their sum is 180 degrees. One angle measure four times the measure of an angel supplementary to it. Find the measure of the angle.
Equation:
x + 4x = 180
5x = 180
x = 36 degrees (smaller angle)
4x = 144 degrees (larger angle)
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3. The measure of the angles of a trapezoid are 4 consecutive odd integers. Find the integers.
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1st: 2x-3
2nd: 2x-1
3rd: 2x+1
4th: 2x+3
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Equation:
sum = 360 degrees
8x = 360
x = 45 degrees
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1st: 2x-3 = 87 degrees
2nd: 89 degrees
3rd: 91 degrees
4th: 93 degrees
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Cheers,
Stan H.
Answer by sachi(548)  (Show Source):
You can put this solution on YOUR website! 1The measure of Angels of a triangel are 3 consecutive integers. Find the measure of the three angels.
ans-
let the angles are x-1,x,x+1
so x-1+x+x+1=180
or 3x=180
or x=180/3=60
so angles are 59,60,61
2. Two angels are supplementary if their sum is 180 degrees. One angle measure four times the measure of an angel supplementary to it. Find the measure of the angle.
ans-
let the angles are x & 4x
now x+4x=180
or 5x=180
or the angles are 36 & 144
3. The measure of the angles of a trapezoid are 4 consecutive odd integers. Find the integers.
ans-
the angles of trapezoid are 2x-3,2x-1,2x+1,2x+3
now 2x-3+2x-1+2x+1+2x+3=360
or 8x=360
or x=45
so the angles are 87,89,91,93
ans
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