Respuesta :

VirαtKσhli

Answer:

See below

Step-by-step explanation:

Given :-

  • y || z

To Prove :-

  • m∠5 + m∠2 + m∠6 = 180°

Proof :-

Here we are required to prove that ,

[tex]\rm\implies m\angle 5 + m\angle 6 + m\angle 2 = 180^o [/tex]

And here it's given that , y || z . Therefore ,

  1. ∠3 = ∠6 ( alternate interior angles )
  2. ∠1 = ∠5 ( alternate interior angles )

Now we know that the measure of a straight line is 180°. Therefore ,

[tex]\rm\implies m\angle 1 + m\angle 2 + m\angle 3 = 180^o \\\\\implies\boxed{\rm m\angle 5 + m\angle 6 + m\angle 2 = 180^o} [/tex]

  • From 1 and 2 .

Hence Proved !

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