The measure of each exterior angle of an equiangular polygon is half the measure of the each interior angle of the polygon. What is the name of the polygon?

The question is impossible, as we will prove in the step-by-steo explanation.

Step-by-step explanation:

The exterior angle and interior angle of a polygon add up to , so let's donate the interior angle by . Then the exterior angle is degrees, but also half of . So

But the interior angle of an equiangular polygon can't be greater than 180 degrees (because it would then be an exterior angle instead), so the question is impossible.

the equation of the parallel line would be y = 2x + 9

step-by-step explanation:

to start we need to find the slope of the original line. we can do that by looking at the coefficient of x, which is 2

since the slope of the original line is 2 and parallel lines have the same slope, we know the new line will also have 2 slope. now we can use that along with the point given in point-slope form to get the find equation.

y - y1 = m(x - x1)

y - 5 = 2(x + 2)

y - 5 = 2x + 4

y = 2x + 9