Question

give 2 positive and one negative angle measure for angles that are coterminal to an angle measure of 50

Answer 1

The positive co-terminal angles to 50° are 410° and 770°, and the negative co-terminal angle is -310°.

Let us first learn about co-terminal angles. Co-terminal angles are angles in standard position which has a common terminal side. To find a co-terminal angle :

• positive co-terminal angle is found by adding the given angle with $2n\pi$ (n=1,2,3...)
• negative co-terminal angle is found by subtracting $2n\pi$(n=1,2,3..) from the given angle.

Let us now calculate the positive co-terminal angles:

$A_1=50^\circ+360^\circ\\or, A_1=410^\circ$

Let us find another positive co-terminal angle:

$A_2=50^\circ+720^\circ\\or,A_2=770^\circ$

Let us now find a negative co-terminal angle

$B_1=50^\circ-360^\circ\\or,B_1=-310^\circ$

We can thus conclude that the positive co-terminal angles to 50° are 410° and 770°, and the negative co-terminal angle is -310°.

To learn more about co-terminal angles:

brainly.com/question/14692520

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