Question

I need some help please!

Answer 1

See below

Explanation:

Given :-

• y || z

To Prove :-

• m∠5 + m∠2 + m∠6 = 180°

Proof :-

Here we are required to prove that ,

`\rm\implies m\angle 5 + m\angle 6 + m\angle 2 = 180^o`

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 ,

`\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}`

• From 1 and 2 .

Hence Proved !