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alisha [4.7K]
3 years ago
11

Which of the following best describes XYZ

Mathematics
2 answers:
Alex787 [66]3 years ago
7 0
<h2>Answer:</h2>

D. Inscribed angle

<h2>Step-by-step explanation:</h2>

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}

Juliette [100K]3 years ago
4 0

Answer:

Option D.

Step-by-step explanation:

we know that

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

so

m

In this problem  

The measure of angle XYZ is an inscribed angle

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