The measure of the supplement of an angle is 12° less than twice the measure of the angle. what is the measurement, in degrees, of the angle and its supplement?

the measurement of the angle is degrees.

the measurement of the supplement is degrees.

The measure of the angle is 64 degree.

The measure of the supplement is 116 degree.

Step-by-step explanation:

Let the measure of the angle be 'x'.

Given:

Supplement of the angle is 12 less than twice the measure of the angle.

Twice the angle means 2 times of the angle which is and 12 less means 12 is subtracted from .

So, supplement of the angle =

Now, by definition of supplementary angles, if two angles are supplement of one another, then their sum is 180 degrees.

Therefore, the sum of the given angles = 180°

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The measure of the supplement =

The measure of the angle is 64 degree.

The measure of the supplement is 116 degree.

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step-by-step explanation: