The angles of a triangle are in the ratio 3:7:8. Find the greatest and the smallest angles. The sum of angles of a triangle is 180degree
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Step by step explanation
Let the angles be
1st angle=3×
2nd angle =7x
3rd angle=8x
Sum of the angles of triangle =180 degrees
So angle 1 +angle 2+angle 3=3x+7x+8x=18×
So 18x=180 degrees
×=180/18=10
×=10
Now 1st angle=3x=3×10=30 degrees
2nd angle=7x=7×10=70 degrees
3rd angle =8x = 8×10=180 degrees
So smallest angle is 30 degrees
Largest angle is 80 degrees
Hope it helps u
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Answer:
Let the angles be
1st angle=3×
2nd angle =7x
3rd angle=8x
Sum of the angles of triangle =180 degrees
So angle 1 +angle 2+angle 3=3x+7x+8x=18×
So 18x=180 degrees
×=180/18=10
×=10
Now 1st angle=3x=3×10=30 degrees
2nd angle=7x=7×10=70 degrees
3rd angle =8x = 8×10=180 degrees
So smallest angle is 30 degrees
Largest angle is 80 degrees
Hope it helps u
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