the angles of a quadrilateral are in the ratio 3:4:5:6.find all the four angles of the quadrilateral
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Answered by
11
Let the angles be 3x, 4x, 5x and 6x
3x+4x+5x+6x=360°
⇒18x=360°
⇒x=360°/18
⇒x=20°
Angles are 60°, 80°, 100°, 120°
3x+4x+5x+6x=360°
⇒18x=360°
⇒x=360°/18
⇒x=20°
Angles are 60°, 80°, 100°, 120°
Answered by
5
given angles are in ratio = 3:4:5:6
sum of ratios= 3x+4x+5x+6x=360
=18x= 360
= x = 2
1st angle = 3×2 =6
2nd angle = 4×2=8
3rd angle =5×2=10
4th angle = 6×2=12
sum of ratios= 3x+4x+5x+6x=360
=18x= 360
= x = 2
1st angle = 3×2 =6
2nd angle = 4×2=8
3rd angle =5×2=10
4th angle = 6×2=12
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