20. In the adjoining figure, O is the centre of a circle, AB is a
chord and AT is the tangent at A. If angleAOB = 100°, then
calculate angleBAT.
Answers
Answered by
1
Answer:
the value of angle BAT is 50°
Answered by
7
Answer:50
Step-by-step explanation:
GIVEN, ANGLE AOB=100, AND AO=AB BECAUSE THEY ARE RADIUS OF THE CIRCLE. THEREFORE TRIANGLE AOB IS ISOSCELES.
THEREFORE ANGLE OAB=ANGLE OBA=X
SO, 100 + X +X =180 (ANGLE SUM PROPERTY)
SOLVING THIS WE GET, X =40
ALSO RADIUS PERPENDICULAR TO TANGENT
THEREFORE, ANGLE OAT=90
ALSO ANGLE OAT= ANGLE OAB+ ANGLE BAT
THIS IMPLIES, 90 = 40 + ANGLE BAT
THEREFORE, ANGLE BAT=50.
PLEASE FOLLOW . AND SUPPORT ME GUYZZ !!!
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