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3 years ago

Complete the statement VU=___

Mathematics

2 answers:

vivado [14]3 years ago

7 0

I think the answer is VY

Grace [21]3 years ago

3 0

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

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