the measure of the supplement of the obtuse angle whose measure is given is 60 degrees.
The measure of the supplement of the obtuse angle whose measure is given is 180-x. This is because supplementary angles are two angles whose measures add up to 180 degrees. In the image, the obtuse angle is labeled x, so its supplement is 180-x.
Here is a more detailed explanation:
An obtuse angle is an angle whose measure is greater than 90 degrees but less than 180 degrees.
Supplementary angles are two angles whose measures add up to 180 degrees.
The supplement of an angle is the angle that, when added to the original angle, gives a sum of 180 degrees.
In the image, the obtuse angle is labeled x. This means that its measure is x degrees. To find the measure of its supplement, we can use the following equation:
supplement of x = 180 - x
This equation tells us that the measure of the supplement of x is equal to 180 degrees minus the measure of x.
Therefore, the measure of the supplement of the obtuse angle whose measure is given is 180-x.
Here is an example:
Suppose we have an obtuse angle whose measure is 120 degrees. To find the measure of its supplement, we can use the following equation:
supplement of 120 degrees = 180 degrees - 120 degrees = 60 degrees