Question

IF D and G are the number of degrees and grades of the same angle, prove that G/10=D/9.
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Answer 1

see explanation

Explanation:

The relationship between D and G is

90D = 100G

that is there are 100 grades in 90°

Given any angle in degrees (D)

Divide by 90 to find how many right angles

Then multiply by 100 to convert to grades , so

G =
`(D)/(90)` × 100 =
`(10)/(9)` D ( multiply both sides by 9 to clear the fraction )

9G = 10D ( divide both sides by 10 )

`(9G)/(10)` = D ( divide both sides by 9 )

`(G)/(10)` =
`(D)/(9)`