In the figure below, ATX is a tangent to the circle at point T, ABC is a straight line, angle ABT = 100o, angle XTD =...

      

In the figure below, ATX is a tangent to the circle at point T, ABC is a straight line, angle
ABT = 100o, angle XTD = 58o and line AB = line BT. C and D lie on the circle
fig691962019425.png
Find by giving reasons, the value of angle:
(a) TDC
(b) TCB
(c) TCD
(d) BTC
(e) DTC

  

Answers


Kavungya
(a) TDC = ABT (exterior opp. angle of a cyclic quadrilateral)
fig701962019427.png
Kavungya answered the question on June 19, 2019 at 13:28


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