Question

An inscribed angle of circle T has a measure of 36°. Determine the measure of the intercepted arc?

A. 72
B. 6
C. 36
D. 18

Answer 1

a is the answer

Explanation:

Answer 2

A

Explanation:

An inscribed angle of circle T has a measure of 36°.

The cantral angle subtended on the same arc as this inscribed angle has the measure twice greater than inscribed angle, so the measure of the central angle is

`36^(\circ)\cdot 2=72^(\circ)`

The measure of the intercepted arc (at which angles are subtended) is the same as the measure of the central angle, so correct option is option A