Answer:
angle a + 40 = 180 (linear pair)
a = 180- 40
a = 140
6/ 2 =3
5/ 5 =1
6 divide by 2 is 3
5 divide by 5 is 1
Oops i accidentally deleted it, but the angle would be 39 degrees :)
The radius of a circle with the same vertex as a center is 12 units
<h3>Application of Pythagoras theorem;</h3>
To get the radius of the circle, we need to determine the diameter of the circle first:
According to SOH CAH TOA:

Determine the radius of the circle
Radius = dismeter/2
Radius = 24/2
Radius = 12
Hence the radius of a circle with the same vertex as a center is 12 units
Learn more on radius of a circle here: brainly.com/question/24375372