Find the supplement to the angle whose measure is 85 degrees.

Supplement + 85 = 180

Solve that for the supplement angle in degrees.

To find the supplement of an angle, we need to determine the angle that, when added to the given angle, will equal 180 degrees.

The supplement of an angle (θ) can be found by subtracting the measure of the angle (θ) from 180 degrees.

So, to find the supplement of an angle whose measure is 85 degrees, we can use the formula:

Supplement angle = 180 degrees - Given angle

Substituting the given angle (85 degrees) into the formula, we have:

Supplement angle = 180 degrees - 85 degrees

Calculating,

Supplement angle = 95 degrees

Therefore, the supplement of the angle with a measure of 85 degrees is 95 degrees.