Theorem: The measure of an angle formed by two lines that intersect outside a circle is half the difference of the measures of the intercepted ares. 1. In the diagram below of cirele 0, PAC and PBD are secants. If mCD- 70 and mAB - 20, what is the degree measure of ZP? 2. In the accompanying diagram of circle 0, PC is a tangent, PBA is a secant, mAB = 132, and mCB = 46. Find mLP 3. In the diagram below, tangent DA and secant DBC are drawn to cirele O from external point D, such that ACa BC If mBC - 152°, determine and state mZD.
Theorem: The measure of an angle formed by two lines that intersect outside a circle is half the difference of the measures of the intercepted ares. 1. In the diagram below of cirele 0, PAC and PBD are secants. If mCD- 70 and mAB - 20, what is the degree measure of ZP? 2. In the accompanying diagram of circle 0, PC is a tangent, PBA is a secant, mAB = 132, and mCB = 46. Find mLP 3. In the diagram below, tangent DA and secant DBC are drawn to cirele O from external point D, such that ACa BC If mBC - 152°, determine and state mZD.
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter4: Quadrilaterals
Section4.3: The Rectangle, Square, And Rhombus
Problem 42E: a Argue that the midpoint of the hypotenuse of a right triangle is equidistant from the three...
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Transcribed Image Text:Angles Formed by Secants and Tangents
Theorem: The measure of an angle
formed by two lines that intersect outside
a circle is half the difference of the
measures of the intercepted arcs.
mA=(x-y)
1. In the diagram below of circle O, PAC and PBD are secants. If mCD= 70 and mAB = 20, what is the degree measure of ZP?
C.
2. In the accompanying diagram of circle O, PC is a tangent, PBA is a secant, mAB = 132, and mCB = 46. Find mZP
3. In the diagram below, tangent DA and secant DBC are drawn to circle O from external point D, such that AC BC If
mBC - 152°, determine and state mZD,
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