

Inscribed Angle of a Circle and its intercepted arcTheorems and examples
Practice Identifying the Inscribed Angles and their Intercepted Arcs Identify the inscribed angles and their intercepted arcs
If XYZ = 40^{o}, what is ?
Therefore, = 2 × 40^{o} = 80^{o}
Every single inscribed angle in the picture on the left has the exact same measure, since each inscribed angle intercepts the exact same arc, which is ?
YZ^{2}=5^{2}+12^{2}
Use your knowledge of the properties of inscribed angles and arcs to determine what is erronous about the picture below.
Explanation The error is that 99^{2} +132^{2} ≠ 164^{2}. Since the pythagoren theorem does not hold, the X is not a right angle and the measure of arc ≠ 180°. 