Question

solve this. urgent.. ​

Answer 1

Step-by-step explanation:

∠ABC = 100˚ (Given )

∠ACD = 40˚

∠ABC + ADC = 180˚ {Oppo. Angles of a cyclic quadrilateral}

100˚ + ∠ADC = 180˚

∴ ∠ADC = 180˚ – 100˚ = 80˚

Also

∠ACD + ∠ADC + ∠CAD = 180˚ {sum of angles of a △}

40˚ + 80˚ + ∠CAD = 180˚

∠CAD = 180˚ – 120˚ = 60˚

Now, ∠DCT = ∠CAD

= 60˚ {Alternate segment theorem }