Question

Ab is a chord o the circle of Aoc is its diameter such that angle Acb= 50 .if at is the tangent to circle at the point A then bat is equal to.

Answer 1

Step-by-step explanation:

from the given figure we know a tangent is perpendicular to the circle

so ∠TAC=∠TAB+∠BAC=90 [equation 1]

now in triangle ABC ∠ABC=90 [since the triangle is in a semi circle]

∠ABC+∠BCA+∠CAB=180

therefore ∠CAB=180−90−50=40

so from equation 1 we get

∠TAB=90−∠BAC=90−40=50