Question

75. The measure of an inscribed angle of circle is 65°, then what will be the measure of
central formed by intercepted arc of that inscribed angle?
(1) 65°
(2) 120°
(3) 130°
(4) 32.5​

Answer 1

Measure of central formed by its intercepted arc = 130°

Step-by-step explanation:

An inscribed angle is an angle with its vertex on the circle and whose sides are chords.

The intercepted arc is the arc that is inside the inscribed angle and whose endpoints are on the angle

As per The Inscribed Angle Theorem  the measure of an inscribed angle is half the measure of central angle formed by its intercepted arc.

or we can say

that  measure of central angle formed by   intercepted arc = 2 * inscribed angle

Here The measure of an inscribed angle of circle is 65°

=> measure of central formed by its intercepted arc. = 2 * 65°

measure of central formed by its intercepted arc = 130°

Learn more:

Find the angle in degree subtended at the centre of a circle by an arc ...

https://brainly.in/question/11427476

in given figure angle poq =100 and angle pqr=30,then find angle rpo ...

https://brainly.in/question/13203903

Angle cab=25° find angle bdc,angle dba and anglecob - Brainly.in

https://brainly.in/question/13611281