The measure of angle ∠A is given by using the exterior angle theorem is 34°. Then the correct option is A.
What is a circle?
It is a locus of a point drawn at an equidistant from the center. The distance from the center to the circumference is called the radius of the circle.
The angles are ∠DE = 123° and ∠BC = 55°.
Then angle ∠A will be given by the formula
[tex]\rm \angle A = \dfrac{\angle DE - \angle BC}{2}\\\\\\\angle A = \dfrac{123 - 55 }{2}\\\\\\\angle A = \dfrac{68}{2}\\\\\\\angle A = 34^o[/tex]
More about the circle link is given below.
https://brainly.com/question/11833983
