Mathematics: Which of the following best describes xyz

Which of the following best describes xyz - id4884050, jrassicworld4ever

Ответ:

Bethany0323

17.01.2022

D. Inscribed angle

Step-by-step explanation:

An inscribed angle has a vertex on the circumference. For any arc, every inscribed angle is exactly half of the central angle. In other words, if the central angle is $x^{\circ}$ and the inscribed angles is $y^{\circ}$ , then it is true that:

$y^{\circ}=\frac{x^{\circ}}{2}$

In this problem $y^{\circ}=36^{\circ}$ , then the central angle is $x^{\circ}=2y^{\circ} \ \therefore x^{\circ}=2(36^{\circ}) \therefore x^{\circ}=72^{\circ}$