Math, asked by yashika11171, 11 months ago

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 krishagrawal046
1

Answer:

the value of angle BAT is 50°

Answered by SANIAAAAAAAAA
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.

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