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TWO SECANTS INTERSECT IN THE EXTERIOR OF A CIRCLE

Activity: Find it out by Yourself!

Given: In the figure below, line NXand line MYare two secants intersecting outside the circle at point P. Arc XYand Arc MNare the two intercepted arcs of angle XPY Move point P to observe the relationship of the two secants and the exterior angle formed. Question: Is there any relationship among the measure of angle XPY and arc MN and arc XBY? Describe the relationship if there is any.