Measurements of Common Angles/Obtuse Angle
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An obtuse angle measures $\theta$, where:
- $90^\circ < \theta < 180^\circ$
- $\dfrac \pi 2 < \theta < \pi$
An obtuse angle is defined to be an angle whose measure is between that of a right angle and a straight angle.
A right angle measures $90^\circ$ or $\dfrac \pi 2$ and a straight angle measures $180^\circ$ or $\pi$.
Hence the result.