Question

Select all true statements if n || m

Help pleaseeee!!!!

Answer 1

Here we assume that m and n are parallel.

Then the true statements are:

m∠2 = 20°.

You can see that the same ray cuts the two parallel lines, in one the angle formed in the left side is 20°, then the same must happen for the other line, then the measure of angle 2 is equal to 20°.

m∠3 = 100°,

We will have that:

m∠2 + m∠3 + m∠4 = 180°.

We know that m∠2 = 20°.

And if you look at m∠4, you can see that the same ray that defines it, also defines a 60° angle in the line n, then m∠4 = 60°.

then we have:

20° + m∠3 + 60° = 180°

m∠3 = 180° - 60° - 20° = 100°.

m∠2 + m∠4 = 80°.

This can be proved using the same reasoning as above.