asked 46.7k views
5 votes
In the diagram, triangle ABC is inscribed in a circle and CD is tangent to the circle. If angle BCD is 40, how many degrees are there in the angle 4?A. 20B.30C. 40D.50

In the diagram, triangle ABC is inscribed in a circle and CD is tangent to the circle-example-1
asked
User Neoevoke
by
8.6k points

1 Answer

4 votes

Given the diagram below;

Given that


\angle BCD=40^0

Then using alternate segment theorem we have that

Thus, from the above illustration, we can conclude that


\angle A=40^0

Hence, angle A is 40°

In the diagram, triangle ABC is inscribed in a circle and CD is tangent to the circle-example-1
In the diagram, triangle ABC is inscribed in a circle and CD is tangent to the circle-example-2
answered
User Reyna
by
7.7k points
Welcome to Qamnty — a place to ask, share, and grow together. Join our community and get real answers from real people.