Solve for x

Question

Solve for x

devonhoward15 · Answer

attachment

devonhoward15 · Answer

@Will.H @MrNood

devonhoward15 · Answer

what is it supposed to equal? i can figure out x

mrnood · Answer

What do you know about the 'external' angles of a polygon?

will.h · Answer

90 + 107 + 144 + 138 + x = 540
Solve for x

devonhoward15 · Answer

61 degrees

mrnood · Answer

If you work with external angle it will work for any polygon

(540 is only true for the pentagon...)

will.h · Answer

you got me interested @MrNood how do i solve using external angles

mrnood · Answer

If you imagine walking around the perimeter then at each corner you will turn through an angle equal to th eexternal angle

when you get back to the starting point you will have turned through 360 deg in all cases

therefore the external angle of all polygons add up to 360

therefore - you know all the internal angles in this case except x so you can know th eexternal ones....

mrnood · Answer

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