Question

if the measure of the central angle is 40°, then the measure of the corresponding major arc is ​

Answer 1

Step-by-step explanation:

Let a circle be with centre O

let the central angle be LAOB

LAOB= 40°-----(given)

so the, m(arc AB) = 40° ------( theorem of measure of minor arc) (1)

major arc = 360°- m (arcAB)

= 360° - 40°-----(from1)

=320° ------(measure of major arc)

major arc = 320°