Question

Quadrilateral RSTU, diagonals SU and RT intersect at point V.

Answer 1

The parallelogram RSTU has a pair of parallel lines ST and RU.

The measure of the angle $\angle TUV=48^o$

How to determine the measure of TUV?

The given parameters are:

m∠SRV= 48° and m∠SVR= 54°

We have the parallel lines of the parallelogram RSTU to be ST and RU.

This means that the transversal between the lines are lines SU and RT.

The above highlights mean that:

SRV= TUV = 48°

By the triangle congruency also:-

$\triangle SRV \ \ and \ \ \triangle TUV$  are also similar by (AAA) property.

So the angles SRV= TUV = 48° will be equal.

Hence the parallelogram RSTU has a pair of parallel lines ST and RU.

The measure of the angle $\angle TUV=48^o$

Read more about parallelograms at:

brainly.com/question/12167853

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