Respuesta :

-280 degrees.

To convert from degrees to radians, multiply the angle by π/180

-280° * π/180° = -280π/180 

Simplify -280π/180

280 ÷ 2 = 140
180 ÷ 2 = 90
140 ÷ 2 = 70
  90 ÷ 2 = 45
  70 ÷ 5 = 14
  45 ÷ 5 =   9

- 280π/180 ⇒ - 140π/90 ⇒ -70π/45 ⇒ -14π/9 

The value of the radian measure of the given angle ( -280 degrees ) in a simple fraction form is -14π/9.

What is radian?

The radian is simply the standard unit of angular measurements in many areas of maths.  It represented by the symbol rad.

Radian is expressed as;

Rad = degree × π/180

Given that the value of the angle θ = -280 degrees, to convert to radian, we  say;

Rad = degree × π/180

Rad = -280 × π/180

Rad = ( -280/180)π

Rad = ( -28/18)π

Rad = ( -14/9)π

Rad = -14π/9

Therefore, the value of the radian measure of the given angle ( -280 degrees ) in a simple fraction form is -14π/9.

Learn more about radian and degrees here: https://brainly.com/question/7721249

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