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3 years ago

What is the measure of XYZ

Mathematics

2 answers:

lorasvet [3.4K]3 years ago

6 0

Answer:

Step-by-step explanation:

The arc XZ is twice the measure of the inscribed angle XYZ , that is

arc XZ = 2 × 60° = 120°

The complete circumference = 360° , thus

arc XYZ = 360° - arc XZ = 360° - 120° = 240° → B

nekit [7.7K]3 years ago

3 0

Answer:

B. 240°

Step-by-step explanation:

By inscribed angle theorem:

$m\widehat({ZX) } = 2\times \angle XYZ\\m\widehat{(ZX) } = 2\times 60\degree \\\purple {\bold {m\widehat{(ZX) } = 120\degree}} \\\because m\widehat{(XYZ)} = 360\degree - m\widehat{(ZX)} \\\therefore m\widehat{(XYZ)} = 360\degree - 120\degree \\\huge \orange {\boxed {\therefore m\widehat{(XYZ)} = 240\degree}} \\$

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