Answer:
The value of a is 1
Step-by-step explanation:
* Lets talk about some facts in the circle
- If two chords equal in length, then they are equal in measure
or if they are equal in measure, then they are equal in length
- All the radii of the circle are equal
* Lets look to the figure
∵ The measure of arc WV = 86°
∵ The measure of arc XY = 86°
∴ The two arcs equal in measure, then they are equal in length
∴ WV = XY
∵ WV = 28
∵ XY = 4a + 24
∴ 4a + 24 = 28 ⇒ subtract 24 from the both sides
∴ 4a = 4 ⇒ divide two sides by 4
∴ a = 1
* The value of a is 1
