By using the definition of supplementary angles, we conclude that the angle measures 37.8°
Remember that two angles A and B are supplementary if their measures add up to 180°, then we have:
A + B = 180°.
Here we know that the angle is 104.4° less than its supplementary angle, then we also can write:
A = B - 104.4°
Then we have a system of equations:
A + B = 180°
A = B - 104.4°
To solve our system for A, on the first equation we can rewrite:
B = 180° - A
Replacing that in the other equation so we get:
A = (180° - A) - 104.4°
Now we can solve that equation for A.
2*A = 180° - 104.4° =
2*A = 75.6°
A = 75.6°/2 = 37.8°
The angle measures 37.8°
if you want to learn more about supplementary angles.
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