Question

Which measure is of an angle that is coterminal with a 95° angle? 95° – (1,450n)°, for any integer n 95° – (1,080n)°, for any integer n 95° – (780n)°, for any integer n 95° – (340n)°, for any integer n

Answer 1

You probably already finished the review but the answer is B. 95° – (1,080n)°, for any integer n

Answer 2

95° – (1,080 n)°, for any integer n

Explanation:

Co-terminal angle are those angles who share the same initial side and terminal sides,

And, these angles are obtained by adding or subtracting the multiple of 360°,

That is, if Ф is an angle,

Then its co-terminal angles are,

Ф + 360 n

Where, n is any integer ( negative or positive )

Here, Ф = 95°,

Since, n is an integer,

⇒ - 3n is an integer,

Thus, the co-terminal angles of 95° are,

95° + 360° (-3n)

= 95° - (1080 n)° ; for any integer n.