one quadrilaterals angles proportion is 2:3:4:6, now answer their measurements.
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Answers
Answered by
1
Answer:
48•, 72°, 96°, 144°
Step-by-step explanation:
The sum of all angles in a quadrilateral is 360°.
Ratio= 2:3:4:6
Let the common factor be X.
then, angles are 2x, 3x, 4x, 6x.
According to question
2x + 3x + 4x + 6x = 360° ( by angle sum property)
15x = 360°
X= 360°/15
X = 24°
Measures of angles are:
2x = 2 x 24° = 48°
3x = 3 x 24° = 72°
4x = 4 x 24° = 96°
6x = 6 x 24° = 144°
Hope this helps!
Answered by
1
Answer:
the answers are 48,72,96,144
Step-by-step explanation:
explanation,
let ratios are 2x,3x,4x,6x.
the sum of all angles in a quad is 360
so,2x+3x+4x+6=360
15x=360
x=24
now,2x=2*24=48
3x=3*24=72
4x=4*24=96
6x=6*24=144
hope u like this
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