o is the centre of a circle PQ is a chord and PT is a tangent at P if angle POQ is 70° then find angle TPQ
Mathematics
cookiekaren02
Question
o is the centre of a circle PQ is a chord and PT is a tangent at P if angle POQ is 70° then find angle TPQ
1 Answer

1. User Answers Anonym
Answer:
< TPQ = 145 degrees
Stepbystep explanation:
< QPO = (180  70)/2 = 55 degrees ( base angle of an isosceles triangle).
< OPT = 90 degrees ( OP is a radius to point of contact of the tangent).
Therefore < TPQ = < QPO + < OPT
= 55 + 90
= 145 degrees