A: UT= 104 m B: UT=104 m C: UT=112m D: UT=126m

m∠R = 126° and UT = 104

Step-by-step explanation:

In the given triangles, two angles and one side is congruent so using ASA postulate both triangles are congruent.

IT can be written as:

ΔQRS = ΔTUV

When two triangles are congruent their respective sides and angles are congruent

So,

m∠R ≅ m∠U

And

UT = RQ

Using these

m∠R ≅ m∠U

Putting y = 14 in 10y-14

Hence,

m∠R = 126°

And

RQ = UT

Putting x = 10 in 2x+84

Hence,

m∠R = 126° and UT = 104

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