Question

Determine whether the arc is a minor arc, a major arc, or a semicircle of R. Questions 25 nd 27

Answer 1

We can find the missing angles using the drawing below.

Then,

`\begin{gathered} 360=60+60+55+x+y \\ \text{and} \\ 55+y=x \\ \Rightarrow240=2(55+y) \\ \Rightarrow120=55+y \\ \Rightarrow y=65 \\ \Rightarrow x=120 \end{gathered}`

Therefore

25)

Arc JML covers an angle equal to 65+55+60=180; thus, ArcJML is a semicircle of R.

27)