Question

the measure of a minor arc of a circle is 125°. Hence, find the measure of the corresponding central Angle and the corresponding measure arc.​

Answer 1

Answer:

ANGLE AOB =125

measure of central angle=250 (by thm 10.8)

corresponding angle=125

Answer 2

Answer:

The measure of the corresponding central Angle and the corresponding measure of arc is 235°

Step-by-step explanation:

Given data the measure of a minor arc of a circle = 125°

here we need to find corresponding measure arc

⇒ the measure of a arc is nothing but the angle subtended by the arc at the center of the circle  

⇒ the central angle of minor arc = 125°

⇒ we know that the complete angle at center of any circle = 360°

⇒ the measure of the minor arc + the corresponding measure arc = 360°

[here the corresponding arc will be the major arc of the circle ]

⇒ measure of minor arc + measure of major arc = 360°  

⇒ measure of major arc = 360° - measure of minor arc

                                        = 360° - 125° = 235°  

⇒ the measure of the corresponding arc is 235° [which is the central angle]