Question

prove with reason that if we produce one side of a triangle then the measurement of the exterior angle is sum of the measurement of two opposite interior angles​

Answer 1

Answer:

because of the equilateral triangle this happens

Step-by-step explanation:

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Answer 2

Question-

prove with reason that if we produce one side of a triangle then the measurement of the exterior angle is sum of the measurement of two opposite interior angles​

Answer-

Statement: If a 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 comparing equation ( i ) and ( ii )

x + y + z = e + z

Therefore, x + y = e

Hence, it is proved.