Question

Which of the following best describes XYZ

Answer 1

Option D.

Explanation:

we know that

The inscribed angle is half that of the arc it comprises.

so

`m<XYZ=(1)/(2)(arc\ XZ)`

In this problem

The measure of angle XYZ is an inscribed angle

Answer 2

D. Inscribed angle

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)=(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)`