Question

which of the following angles is not coterminal with the other three? a. 591° b. 231° c. 51° d. –129°

Answer 1

Answer:

C) $51^o$

Explanation:

As we know that angle in same quadrant with same magnitude is known as coterminal angle

so lets discuss each angle

a) $591^o$

so we can say it is

$540^o + 51^o$

so it is 51 degree with negative x axis in third quadrant

b) $231^o$

so we can say it is

$180^o + 51^o$

so it is 51 degree with negative x axis in third quadrant

c) $51^o$

so it is 51 degree with negative x axis in third quadrant

d) $-129^o$

so we can say it is

$-180^o + 51^o$

so it is 51 degree with negative x axis in third quadrant

So coterminal angles are 591, 231 , -129

Answer 2

C. 51° ................................