The difference between 3 times an angle's supplement and 100 is 17. find the measure of the angle?

The angle is 141 degrees.

Step-by-step explanation:

We start by listing the angle as x.

Noting that, we know that it's supplement is 180 - x.

With these two facts given, we can model the equation as the following and then solve for x.

3(180 - x) - 100 = 17

540 - 3x - 100 = 17

440 - 3x = 17

-3x = -423

x = 141

step-by-step explanation:

points a and b are equidistant from the desired line, so the line you find by using them will go through point r.

using points other than a and b will give the desired line only if they are equidistant from r. if they are randomly located, the perpendicular line you create will not necessarily go through point r, hence will not be a solution to the problem.