What is a positive angle less than 360 degrees that is conterminal with -289 degrees
1 answer:
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°
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