Question

Determine two coterminal angles in degree measure (one positive and one negative) for each angle. (There are many correct answers. Enter your answers as a comma-separated list.)

Answer 1

Answer:

(a) Coterminal =495, -225

(b) Coterminal = 135,-585

Step-by-step explanation:

The angles are:

(a) 135°  (b) −225°

The coterminal angle of angle x is derived by:

$Coterminal = x \± 360$

Solving (a): 135°

Substitute 135 for x in $Coterminal = x \± 360$

$Coterminal =135 \± 360$

Split

$Coterminal =135 + 360, 135 - 360$

$Coterminal =495, -225$

Solving (b): -225°

Substitute -225 for x in $Coterminal = x \± 360$

$Coterminal =-225 \± 360$

Split

$Coterminal = -225 + 360,-225 - 360$

$Coterminal = 135,-585$