Question

two angles are in the ratio1:2 on increasing the smaller 6° and decreasing the large angle by 6° the ratio changed to2:3 what were the original angle

Answer 1

ratio of two angles = 1 : 2

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let x be the constant ratio'

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so let original smaller angle = x ,

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and original larger larger angle = 2x

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increase in smaller angle = 6°

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new smaller angle = (x + 6 )°

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decrease in larger angle = 6°

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new larger angle = (2x - 6 )°

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new ratio of smaller and larger angle

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= 2 : 3

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(x + 6) : ( 2x - 6 ) = 2 : 3

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product of means = product of extremes

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2 ( 2x - 6 ) = 3 ( x + 6 )

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4x - 12 = 3x + 18

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4x - 3x = 18 + 12

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x = 30°

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therefore,

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original smaller angle = 30°

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original larger angle =2x = 2 × 30 = 60°

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Answer:
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original angles are 30° , 60°
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Answer 2

Answer:

30°,60°

Step-by-step explanation:

3(x+6)=2(2x-6)

3x+18=4x-12

18+12=4x-3x

x=30

smaller angle =30°

larger angle =2×30=60°