Ignotusrekcah
Ignotusrekcah Ignotusrekcah
  • 11-09-2022
  • Mathematics
contestada

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.​

Respuesta :

mhanifa
mhanifa mhanifa
  • 11-09-2022

Answer:

  • 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

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