In the figure, find the value of x.

Solution:

Given, the figure represents a pentagon.

We have to find the value of x.

We know that the sum of exterior angles of a regular pentagon is 360 degrees.

So, 89° + x + 85° + 20° + 92° = 360°

174° + 112° + x = 360°

286° + x = 360°

x = 360° - 286°

x = 74°

Therefore, the value of x is 74°.

✦ Try This: In the given figure, find the value of x.

☛ Also Check: NCERT Solutions for Class 8 Maths

NCERT Exemplar Class 8 Maths Chapter 5 Problem 169

In the figure, find the value of x.

Summary:

The value of x in the given figure is 74°.

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