1. PORST is a pentagon inscribed in a circle. If Z RPS = 30°,ZQSR = 32°,ZPQS = 68° and SR = TS, find %3D %3D all the angles of the pentagon. S.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter6: Circles
Section6.2: More Angle Measures In The Circle
Problem 48E: Given concentric circles with center O, ABC is inscribed in the larger circle, as shown. If BC is...
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1. PQRST is a pentagon inscribed in a circle.
If ZRPS = 30°, ZQSR = 32°,ZPQS = 68° and SR = TS, find
all the angles of the pentagon.
R
2. ABC is tangent to the circle O at B; DB and EB are chords,
BF is a diameter. If BE = 100° andZABD = 35°, find
ZEBC,ZE, ZBOD, EF, DB and FD.
E
3. TB and TC are tangents to circle O.
a. If LTIS 35°, find COB, BC and CDB
b. If CDB is twice BC, find BC, CDB,ZCOB andT.
Transcribed Image Text:1. PQRST is a pentagon inscribed in a circle. If ZRPS = 30°, ZQSR = 32°,ZPQS = 68° and SR = TS, find all the angles of the pentagon. R 2. ABC is tangent to the circle O at B; DB and EB are chords, BF is a diameter. If BE = 100° andZABD = 35°, find ZEBC,ZE, ZBOD, EF, DB and FD. E 3. TB and TC are tangents to circle O. a. If LTIS 35°, find COB, BC and CDB b. If CDB is twice BC, find BC, CDB,ZCOB andT.
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