Question

In Fig. 8.37, determine the value of x.

Answer 1

Answer:

x=30

Sum of all angles =360

According to question

7x=360-150

7x=210

x=30

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Answer 2

Concept : We know that, Sum of all the angles around the point is 360°.

From the figure:  

3x + 3x + 150° + x = 360°

7x + 150° = 360°

7x = 360° – 150°

7x = 210°

x = 210°/7

x = 30°

Hence the value of x is 30°.

Extra information :  

Every angle has a measure.  The unit of angle measure is a standard angle, called a 'degree'(°).

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