Answer: 1.) Arc GM = 89°
2.) Arc NM = 91°
3.) Arc GE = 114°
4.) Angle GEN = 90°
Step-by-step explanation:
1. Central measurement given for angle GPM is equal to the arc it inscribes.
2.Diameter inscribes an arc of 180° Subtract the given arc EN 66°
3. Take the sum of calculated and given arcs and subtract from 360°.
4. If the hypotenuse of a triangle inscribed in the circle is the diameter, the angle opposite the diameter-hypotenuse is 90°
