angles formed by secant and tangent lines
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I.
Tangent Line:
Point of Tangency
Secant Line:
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II.
#1: The measure of the angle formed at the exterior of a circle is one half the positive difference of its intercepted arcs.
[tex] \therefore [/tex] Angle XPY is 60 degrees.
[tex] \rm [/tex]
#2: The measure of the angle formed at the exterior of a circle is one half the positive difference of its intercepted arcs.
[tex] \therefore [/tex] The value of x is approximately 36.5 degrees.
[tex] \rm [/tex]
#3: The measure of the angle formed at the exterior of a circle is one half the positive difference of its intercepted arcs.
» Solve for the minor arc BC that is the difference of 180 and the exterior angle.
» The measure of the minor arc BC is 46 degrees. Solve for the major arc BC. Referred it as x.
[tex] \therefore [/tex] The value of x is 174 degrees.
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III.
#4: The measure of the angle and it's vertical is one half the sum of their measure of its intercepted arcs.
[tex] \therefore [/tex] Angle 4 is approximately 71.5 degrees.
[tex] \rm [/tex]
#5: The measure of the angle formed at the exterior of a circle is one half the positive difference of its intercepted arcs.
[tex] \therefore [/tex] Arc LP is 150 degrees.
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I HOPE THIS HELPS :)