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Can somebody help with this problem please?

Can somebody help with this problem please?-example-1
User Tamo
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1 Answer

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Answer:

The value of a is 1

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

User Rashomon
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