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The figure above shows two circles ABPQ and ABSR intersecting at A and B. QART, PBS and ABU are straight lines. The line TSU is...

      

The figure above shows two circles ABPQ and ABSR intersecting at A and B. QART, PBS and ABU are straight lines. The line TSU is a tangent to the circle ABSR at S. Given that ˂BPQ = 80o, ˂PBU = 115o and ˂BUS = 70o.
fig31121120191333.png
Find & state reasons for the following angles
a) ˂BRS
b) ˂BSU
c) ˂STR
d) ˂BAR
e) ˂ARB

  

Answers


Kavungya
(a) 450 – Angles at an alternate segment are equal
(b) 450 – The sum of interior angles of a triangle add up to 1800
(c) 300 – Sum of interior angles of a triangle add up to 1800
(d) ?BAR – 800 The Opposite interior angles of a cycle quadrilateral are supplementary
(e) 200 - ARS = 65 - Opposite angles of cycle qual are equal BRS = 450 in (a) above
ARB = 650- 450 = 200
Kavungya answered the question on November 12, 2019 at 10:37


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