Question

Find the value of x in the given figure( see the attachment)​

Answer 1

Answer:

x = 45 degrees

Step-by-step explanation:

This is a quadrilateral (A closed figure with 4 straight lines)

All are exterior angles.

Sum of the exterior angles of any polygon is 360

So, if you add all the values of exterior angles in this figure, it will be 360.

You can write it as,

4x+5+x+5+2x-10+x = 360

                          8x = 360

                            x = 360/8

                              =45

Answer 2

Sum of angles of a quadrilateral is 360°

And sum of angles on a straight line is 180°

Therefore, a/q

(180-(4x+5))+(180-(x+5))+(180-(2x-10))+(180-x)=360

720-8x=360

x=360/8

x=45