Question

Choose the correct option.

If arc AXB and arc AYB are corresponding arcs and m(arc AXB) = 120^° then m(arc AYB) = $\boxed{12eryyt4}$

(i) 140^° (ii) 60^° (iii) 240^° (iv) 160^°

Answer 1

Consider that arc AXB is the minor arc and arc AYB is the corresponding major arc.
It is known that, measure of major arc = 360^∘ − measure of the corresponding minor arc.
We have, m(arc AXB) = 120^°.
So, m(arc AYB) = 360^∘ − m(arc AXB) = 360^∘ − 120^∘ = 240^∘
Hence, the correct answer is option (iii).