Question

What is a positive angle less than 360 degrees that is conterminal with -289 degrees

Answer 1

Answer:

The positive angle that less than 360° and is conterminal with -289° is 71°

Step-by-step explanation:

• When a terminal of an angle moves anticlockwise, then it makes a positive angle with the positive part of the x-axis

• When a terminal of an angle moves clockwise, then it makes a negative angle with the positive part of the x-axis

• To find the positive angle which has the same terminal of a negative angle add the measure of the negative angle by 360°

Let us solve the question

∵ The measure of the angle is -289°

→ Add its measure by 360° to find the positive angle that is conterminal

   with it

∵ The measure of the positive angle = -289° + 360°

∴ The measure of the positive angle = 71°

The positive angle that less than 360° and is conterminal with -289° is 71°