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 Form 3 Mathematics Angle Properties of a Circle Questions and Answers

The figure below shows two circles ABPQ and ABSR intersecting at A and B. PBS, QART and ABU are straight lines. The line UST is a tangent to the circle ABSR at S. #angle# BPQ=#80^0#, #angle# PBU=#115^0# and #angle# BUS=#70^0#.
figcircle17420201011.JPG
Find the values of the following angles, stating your reasons in each case.
(a) #angle# BAR
(b) #angle# STR
(c) #angle# BSU
(d) #angle# BRS

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