Question

Angles θ and Φ are complementary, and θ =pi/12 Find the measure of Φ.????

Answer 1

they add to \(\frac{\pi}{2}\) so
\[\phi +\frac{\pi}{12}=\frac{\pi}{2}\] making
\[\phi =\frac{\pi}{2}-\frac{\pi}{12}\]

Answer 2

subtract as if the \(\pi\) wasn't there
\[\frac{\pi}{2}-\frac{\pi}{12}=\frac{6\pi}{12}-\frac{\pi}{12}=\frac{5\pi}{12}\]