PLEASE HELP ME PLEASE AND THANK

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PLEASE HELP ME PLEASE AND THANK

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Answer: OPTION C.Step-by-step explanation: You can observe in the picture given in the exercise that  [tex]\angle E[/tex] is formed by two secants intersecting outside the circle. It is necessary to remember that, by definition: [tex]Angle\ formed\ by\ two\ Secants=\frac{1}{2}(Difference\ of\ Intercepted\ Arcs)[/tex] You can also identify that the Intercepted Arcs are the following: [tex]CD=110\°\\\\AB=30\°[/tex] Then, knowing the measures of the Intercepted Arcs, you can substitute them into the equation shown before and then evaluate, in order to calculate the measure of  [tex]\angle E[/tex] , which is the angle formed by the intersection of the secants. Therefore, you get: [tex]m\angle E=\frac{1}{2}(110\°-30\°)\\\\m\angle E=40\°[/tex]

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