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What is x in this figure?
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Given: The 2 exterior angles of a triangle are 125o.

To find: We have to find the value of the other exterior angle x.


Solution: 

Now,

∠1 + 125o = 180o       (Linear pair of angles)

∠1 = 180o - 125o = 55o     .....(i)

∠2 + 125o = 180o       (Linear pair of angles)

∠2 = 180o - 125o = 55o     .....(ii)

∠3 + xo = 180o       (Linear pair of angles)

∠3 = 180o - xo     .....(iii)

and,

∠1 + ∠2 + ∠3 = 180o       (Sum of interior angles of a triangle)

Sustitute values from eq. (i), (ii) and (iii):

55o + 55o + 180o - xo = 180o

xo = 55o + 55o + 180o - 180o      

xo = 110o


Updated on: 10-Oct-2022

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