Question

The difference of the number of grades and the number of degrees of the same angle is 16. Find the number of degrees and grades of the angle.​

Answer 1

• 160 grades or 144 degrees

================================

Relationship between grade and degree is:

• 100 grades is same as 90 degrees,

or

• 100G = 90D

or

• G = 90D/100
• G = 0.9D

We have angle x grades for which, the difference of grades and degrees is 16.

We can show this as:

• x - 0.9x = 16
• 0.1x = 16
• x = 16/0.1
• x = 160

The number of degrees is:

• 160 - 16 = 144