Question

19. AB is a chord of the circle and AOC is its diameter, such that angle ACB=60° If AT is the tangent to the circle at the point A, then find the measure of angle BAT

​

Answer 1

Step-by-step explanation:

Solutions

Correct option is C)

Correct option is C)from the given figure we know a tangent is perpendicular to the circle

Correct option is C)from the given figure we know a tangent is perpendicular to the circleso ∠TAC=∠TAB+∠BAC=90 [equation 1]

Correct option is C)from the given figure we know a tangent is perpendicular to the circleso ∠TAC=∠TAB+∠BAC=90 [equation 1]now in triangle ABC ∠ABC=90 [since the triangle is in a semi circle]

Correct option is C)from the given figure we know a tangent is perpendicular to the circleso ∠TAC=∠TAB+∠BAC=90 [equation 1]now in triangle ABC ∠ABC=90 [since the triangle is in a semi circle]∠ABC+∠BCA+∠CAB=180

Correct option is C)from the given figure we know a tangent is perpendicular to the circleso ∠TAC=∠TAB+∠BAC=90 [equation 1]now in triangle ABC ∠ABC=90 [since the triangle is in a semi circle]∠ABC+∠BCA+∠CAB=180therefore ∠CAB=180−90−50=40

Correct option is C)from the given figure we know a tangent is perpendicular to the circleso ∠TAC=∠TAB+∠BAC=90 [equation 1]now in triangle ABC ∠ABC=90 [since the triangle is in a semi circle]∠ABC+∠BCA+∠CAB=180therefore ∠CAB=180−90−50=40so from equation 1 we get

Correct option is C)from the given figure we know a tangent is perpendicular to the circleso ∠TAC=∠TAB+∠BAC=90 [equation 1]now in triangle ABC ∠ABC=90 [since the triangle is in a semi circle]∠ABC+∠BCA+∠CAB=180therefore ∠CAB=180−90−50=40so from equation 1 we get ∠TAB=90−∠BAC=90−40=50

I hope this helps you