Answered

From simple queries to complex problems, IDNLearn.com provides reliable answers. Ask anything and receive prompt, well-informed answers from our community of knowledgeable experts.

An angle has a reference angle of 40° and its terminal side lies in Quadrant III. What are a possible positive measure and a negative measure for the angle?

Sagot :

Facundo3141592idn

The positive measure is 220° and the negative measure is -140°.

How to find the measures of the angle?

First, we know that the reference angle is 40°, and it lies on the third quadrant.

So these 40° are measured from the negative x-axis (the axis where the quadrant starts).

This means that the angle measured in the standard way (from the positive x-axis) measures:

M = 40° + 90° + 90° = 220°.

To find the negative measure, we remember that any angle A is equivalent to:

B = A + n*360°.

Where n is an integer.

If we take n = -1 for our angle, we get:

M' = 220° + (-1)*360° = -140°.

So the positive measure is 220° and the negative measure is -140°.

If you want to learn more about angles:

https://brainly.com/question/16281260

#SPJ1

We are happy to have you as part of our community. Keep asking, answering, and sharing your insights. Together, we can create a valuable knowledge resource. Thank you for choosing IDNLearn.com for your queries. We’re committed to providing accurate answers, so visit us again soon.