Question

In the figure below, X Z is a diameter of circle A.

What is the arc measure of Y Z in degrees?
(5w+4)
(11w)

Answer 1

Step-by-step explanation: YZ=59

Answer 2

Answer: The arc measure of YZ is 59°.

Explanation:

Since we have given that

XZ is the diameter.

Degrees are
`5w+4\ and\ 11w`

So, it forms a straight angle.

`5w+4+11w=180\\\\16w+4=180\\\\16w=180-4\\\\16w=176\\\\w=(176)/(16)\\\\w=11`

So, the arc measure of YZ would be :

`5w+4=5* 11+4=55+4=59^\circ`

Hence, the arc measure of YZ is 59°.