a figure has a 30 degree angle located at the point (-6, -8). what is the coordinate point for this angle when figure is translated (x + 4, y - 1)?

In order to find the coordinate point for this angle after the translation, we need to apply the translation vector (4, -1) to the original point (-6, -8).

To apply the translation vector, add the corresponding x and y values:
New x-coordinate = -6 + 4 = -2
New y-coordinate = -8 - 1 = -9

Therefore, the new coordinate point for the angle after the translation is (-2, -9).

a polygon has an angle that polygon has an angle that measures 77 degrees. when the polygon is rotated 90 degrees, what will be the measurement of the angle?

a. 167 degrees
b. 77 degrees
c. 90 degrees
d. 103 degrees

When a polygon is rotated 90 degrees, each angle in the polygon is also rotated by 90 degrees. Therefore, the measurement of the angle that originally measured 77 degrees will become:

77 degrees + 90 degrees = 167 degrees

So, the correct answer is:

a. 167 degrees