The measure of an angle is 3 times the measure of its supplement. Find the measure of the angle.

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- Sep 17th 2008, 10:15 PMMary DannaGeometry angles
The measure of an angle is 3 times the measure of its supplement. Find the measure of the angle.

- Sep 17th 2008, 11:00 PMo_O
Let be the supplement of the angle that we are looking at (which we'll call ).

So, by definition, we know that: (1)

We also know that the angle is 3 times more than its supplementary angle, i.e.:

So substitute into (1) and we get:

Now just solve for the angle - Sep 18th 2008, 06:32 AMMary Danna
Thank you so much! I've never taken Geometry and my daughter has a test tomorrow. You helped a lot!