Question

Use the picture below to find the measure of
arc ZWX.

Answer 1

222

Explanation:

The arc measeure is the angle formed by the arc

`\widehat{ZWX} = \angle ZCR +\angle RCW +\angle WCX\\\\\implies \widehat{ZWX} = 42 +\angle RCW +\angle WCX`

Since WZ isthe diammeter, it is a straight line

⇒ ∠ZCR + ∠RCW = 180

⇒
`\widehat{ZWX} = 42 +180`

⇒
`\widehat{ZWX} = 222 $^(\circ)$`