Respuesta :

Answer:

Multiply 5π/6 by 180/π, you will get answer 150°.

Answer: [tex]150^{\circ}[/tex]

Step-by-step explanation:

To convert a radian measure to degrees , we generally multiply it by 180° and divide it by [tex]\pi[/tex].

Given : [tex]m. \overarc{XYZ}=\dfrac{5\pi}{6}\text{radian}[/tex]

Then, In degrees it should be

[tex]m. \overarc{XYZ}=\dfrac{5\pi}{6}\times\dfrac{180^{\circ}}{\pi}\\\\\Rightarrow m.\overarc{XYZ}=150^{\circ}[/tex]

Hence, the correct answer is [tex]150^{\circ}[/tex].

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