the angels of a quadrilateral are in the ratio 1:2:3:4. state the measure of its angles . answer
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Step-by-step explanation:
Take common multiple as x
1x+2x+3x+4x=360°
10x=360
x=36
1x=1*36=36
2x=2*36=72
3x=3*36=108
4x=4*36=144
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Answered by
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Answer:
let the angles be
angle A = x°
angle B = 2x°
angle C = 3x°
angle D = 4x°
angleA + angleB + angleC +angleD = 360°
(angle sum property of quadrilateral)
x°+2x°+3x°+4x° = 360°
10x° = 360°
x = 36°
angle A = x = 36°
angle B = 2x = 2×36 = 72°
angle C = 3x = 3×36 = 108°
angle D = 4x = 4×36 = 144°
Step-by-step explanation:
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