Question

Anyone good at geometry proofs? Help with math please. Thank you!

Answer 1

Answer and Step-by-step explanation:

1. Given

This part is given at the beginning of the problem.

2. Corresponding Angles Postulate

Because the lines are parallel, these two angles will be congruent by the corresponding angles postulate.

3. Same-Side Interior Angles Theorem

The same-side interior angles theorem has it so that the angles within parallel lines will add up to 180.

4. Substitution

We can use substitution here because we already determined that the measure of angle UTY is congruent to the measure of angle HGY.

I hope this helps!

#teamtrees #PAW (Plant And Water)

Answer 2

Answer:

Below.

Step-by-step explanation:

m <UTY + m <UTR = 180 degrees ( Angles on a straight line YR)

But m < UTR = m<RWX ( Corresponding angles  in the parallel lines SU and VX)

So substituting for m< UTR in the first equation:

m <UTY + m<RWX  = 180.