The value of angle A is 56 degrees
What are tangents?
Tangents are lines that touch the circle at an angle of 90 degrees
From the question, we understand that:
Lines AB and AD are tangent to circle C
So, we have the following equation (from the complete question)
[tex]x + 90 + 34 = 180[/tex]
Where x represents the measure of angle A
Evaluate the like terms
[tex]x + 124 = 180[/tex]
Subtract 124 from both sides
[tex]x = 56[/tex]
Hence, the value of angle A is 56 degrees
Read more about tangents at:
https://brainly.com/question/17040970
