Prove if the side of a triangle is produced then the exterior angles os formed is equal to the sum of two interior opposite angles
Answers
Answered by
2
Because it is a exterior angle proraty
In which the exterior angle is equal to the other opposite angles
In which the exterior angle is equal to the other opposite angles
Shalikas:
What........u have to prove it if you don't know the answer why are you writing
Answered by
5
Statement : If side of a triangle is produced, then the exterior angles so formed is equal to the sum of the two interior opposite angles.
Given : A triangle ABC with interior angles x , y and z and exterior angle 'e'.
To prove : e = x + y
Proof :
In the figure, :
x + y + z = 180°.... (i) [Angle sum property]
e + z = 180 ° ........ (ii) [Linear pair]
On camparing equation ( i ) and ( ii )
x + y + z = e + z
Therefore, x + y = e
Hence, it is proved.
Given : A triangle ABC with interior angles x , y and z and exterior angle 'e'.
To prove : e = x + y
Proof :
In the figure, :
x + y + z = 180°.... (i) [Angle sum property]
e + z = 180 ° ........ (ii) [Linear pair]
On camparing equation ( i ) and ( ii )
x + y + z = e + z
Therefore, x + y = e
Hence, it is proved.
Attachments:
Similar questions