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Which of the following represents the measures of all angles coterminal with a -220° angle

Which of the following represents the measures of all angles coterminal with a -220° angle-example-1
User Diego
by
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2 Answers

3 votes

Answer:

D. 140 + 360n, for any integer n

Explanation:

-220 + 360 = 140

An angle of -220 deg is coterminal with 140 deg.

140 + 360n, for any integer n

User Nick Vee
by
6.4k points
0 votes

Answer:

140 + 360n, for any integer n

Explanation:

Coterminal Angles of an angle are the angles who share the same initial side and terminal sides of that angle,

The coterminal angle of an angle is obtained after adding or subtracting the multiple of 360°,

That is, If we have an angle Ф,

Then its coterminal angles are Ф + 360n,

Where, n is an integer,

Here, Ф = -220°,

Thus, the coterminal angles are,

(-220 + 360n )°,

Where, n is an integer,

If n is an integer ⇒ n + 1 is also an integer,

Thus, the coterminal angles of -220° are,

(-220 + 360(n+1) )°

= ( -220 + 360n + 360 )°

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

LAST option is correct.

User Kesha
by
7.4k points
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