Question

The difference of the number of degrees and the number of grades of same angle is 8 find the angle in degrees

Answer 1

Answer:

Let the angle be 'x'.

Therefore, No. of degrees = D = x.

x° in grades = (x × 10/9)g

= (10 x/9) g

where, g means grade.

Therefore, G = 10 x/9

By the question,

G - D = 1 6

or, 10 x/9 - x = 1 6

or, (10 x - 9 x)/9 = 1 6

or, x / 9 = 1 6

or, x = 1 6 × 9

Therefore, x = 144°

And,

The angles in grades = (10 x/9)g = {(10 × 144)/9}

= 160 g

Hence, the required no. of degrees and grades are 144° and 160g.

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Answer 2

Answer:

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