Question

(G.lla, 1 point) Use the circle shown to answer the question. ♡ If MAC = 64. and m 2 ABC 16) find the value of x. A. 12 B 36 C. 25 D. 24

Answer 1

12

1) In this case, we have two chords within that circle. And since the arc = 64º and the m ∠ABC = 4x -16

2) Applying one Theorem that states that

3) So we can write:

`\begin{gathered} (4x-16)\text{ =}(64)/(2) \\ 4x-16\text{ =32} \\ 4x\text{ =32+16} \\ 4x\text{ = 48} \\ x=12 \end{gathered}`

So the value of x = 12