The measure of angle BCD in circle A is 74°.
What is a circle?
A circle is the locus of a point such that its distance from a fixed point is constant.
From the circle:
BC = CD (tangents that meet at the same point are equal)
But ∠ABC = 90° (angle between tangent and radius)
In triangle ABC:
∠ABC + ∠BCA + ∠BAC = 180 (triangle)
90 + ∠BCA + 53 = 180
∠BCA = 37°
Hence:
∠BCA = ∠ACD = 37°
angle BCD = ∠BCA + ∠ACD = 37 + 37 = 74°
The measure of angle BCD in circle A is 74°.
Find out more on circle at: https://brainly.com/question/24375372
