# Geometry angles

• Sep 17th 2008, 10:15 PM
Mary Danna
Geometry 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 PM
o_O
Let ${\color{red}s}$ be the supplement of the angle that we are looking at (which we'll call $\alpha$).

So, by definition, we know that: $\alpha + {\color{red}s} = 180^{\circ}$ (1)

We also know that the angle is 3 times more than its supplementary angle, i.e.: $\alpha = 3{\color{red}s} \ \ \text{which is the same as: } {\color{red}s} = \frac{\alpha}{3}$

So substitute ${\color{red}s}$ into (1) and we get: $\alpha + {\color{red}\frac{\alpha}{3}} = 180^{\circ}$

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