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l M

l

l

Q____l____ N

lO

l

l

l P

Let MP & NQ be lines intersecting at O.

Then angle MON + angle NOP = 180 degrees (linear pair)

Angle MOQ + angle QOP = 180 degrees (linear pair)

Adding the equations,

Angle MON + Angle NOP + Angle MOQ + Angle QOP = 180 + 180 degrees = 360 degrees.

Therefore all angles around O sum upto 360 degrees.

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โˆ™ 2011-09-25 04:59:48
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Q: Show that sum of all the angles around a point is 360?
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