PLZ ANSWER THIS
DO WE HAVE TO FIRST FIND MEASURES OF BASE ANGLES IN Triangle CPQ.
If not then what is the correct solution.
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Given-
seg SO is perpendicular seg PQ and
seg BQ is perpendicular seg PQ
To prove -
seg CP is congruent seg CQ
Construction -
join CP, CT ,BQ
Proof-
seg AP perpendicular seg PQ
seg CT perpendicular seg PQ
seg BQ perpendicular seg PQ
AC/CB = PT/TQ ....i)..properties of three parallel lines
But,
AC =CB...radio of sana circle
AC/CB = 1....ii)
from i)
PT / TQ =1
hense PT = TQ.....iii)
In triangle CTP and triangle CTQ,
seg CT congruent seg CT ....commen side
angle CTP congrount angle CTQ .....each 90
PT = TQ ....from iii)
triangle CTP congrount triengle CTQ ...S-A-S test
hense,
seg CO congrount seg CQ...C.S.CT
hope this help u
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