Question

Complete the statement VU=___

Answer 1

I think the answer is VY

Answer 2

Answer:

VU=UT

Step-by-step explanation:

UY || TX

∠VUY = ∠UTW (corresponding angles )

∠VYU = ∠VXT (corresponding angles ) ----------------------------1

UW || XY

∠UWT = ∠VXT (corresponding angles ) --------------------------2

Form 1 and 2

∠VYU =∠UWT

Theorem : If two of the angles of two triangles are equal, then the third angle must also be equal, because angles of a triangle always add to make 180°

Since ∠VUY = ∠UTW and ∠VYU =∠UWT

So, ∠UVY=∠TUW

Now ∠VUY = ∠UTW and ∠VYU =∠UWT and ∠UVY=∠TUW

So, ΔVUY≅ΔUTW (By AAA congruence)

Since the congruent part of congruent triangles are equal .

So, VU=UT