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Check the picture below.

so a full circle is 360°, then if we just go 140° more, we'll be landing at 500°.

If we go from the 140° location and add say 360°, well end up 500, if we add another 360°, we'll be at 860° or the same location of 140° and 500°, and if we add again 360° we'll be landing on the same spot again and again.

(140 + 360n)°.   where "n" is an integer.

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MrRoyal

The expression that represents the measures of all angles that are co-terminal with a 500° angle is 140 + 360n

What are co-terminal angles?

Co-terminal angles are angles in a standard position

The angle is given as:

Angle = 500

Add 0 to 500

Angle = 500 + 0

Express 0 as -360 + 360

Angle = 500 - 360 + 360

Evaluate the difference

Angle = 140 + 360

Express as a function

f(1) = 140 + 360 * 1

Substitute 1 for n

f(n) = 140 + 360 * n

This gives

f(n) = 140 + 360n

Hence, the expression that represents the measures of all angles that are co-terminal with a 500° angle is 140 + 360n

Read more about co-terminal angles at:

https://brainly.com/question/19891743

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