the supplement of the measurement of an angle is 9° less than twice the angle. Find the measure of the angle and its supplement. pls

To solve this problem, let's first define the angle as x.

The supplement of an angle is defined as 180 degrees minus the angle itself. Therefore, the supplement of the angle will be 180 - x.

According to the problem, the supplement of the angle is 9 degrees less than twice the angle. We can express this as an equation:

180 - x = 2x - 9

To solve for x, let's simplify the equation:

180 + 9 = 2x + x
189 = 3x

Next, divide both sides of the equation by 3:

189/3 = x
63 = x

So, the angle x measures 63 degrees.

Now, let's find the supplement of the angle:

180 - x = 180 - 63 = 117

Therefore, the measure of the angle is 63 degrees, and its supplement is 117 degrees.