Respuesta :

Answer:

To convert from degree to radian we multiply the angle by

π/180

To convert from radian to degree we multiply the angle by

180/π

5π/6,

Multiply by

180/π

=

5π/6 × 180/π = 5 × 30 = 150 degrees.

⇒5π/6 radian =150 degree.

The equivalent measurement of the given angle in degrees is 150 and this can be determined by using the given data.

Given :

The measure of the angle is [tex]5\pi/6[/tex].

The following steps can be used in order to determine the equivalent measurement of the given angle in degrees:

Step 1 - According to the given data, the measure of the angle is [tex]5\pi/6[/tex].

Step 2 - Now, to convert the given angle from radian to degrees, multiply the given angle by [tex]180/\pi[/tex].

Step 3 - Now, let the equivalent measurement of the given angle in degrees be 'x'. So, the value of 'x' can be calculated as:

[tex]x = \dfrac{5\pi}{6}\times \dfrac{180}{\pi}[/tex]

Step 4 - Simplify the above expression.

[tex]x = 150^\circ[/tex]

The equivalent measurement of the given angle in degrees is 150.

For more information, refer to the link given below:

https://brainly.com/question/7383164

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