Question

What is the measure of XYZ​

Answer 1

Answer:

B

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

Answer 2

Answer:

B. 240°

Step-by-step explanation:

By inscribed angle theorem:

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