Question

If arc AXB and arc AYB are corresponding arcs and m(arc AXB) = 120^° then m(arc AYB) = ______

Options

• 140°

• 60°

• 240°

• 160°

Answer 1

If arc AXB and arc AYB are corresponding arcs and m(arc AXB) = 120^° then m(arc AYB) = 240°

Explanation:

Consider that arc AXB is the minor arc and arc AYB is the corresponding major arc.

It is known that the measure of major arc = 360^∘ − the 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 240°.