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Trapezoid $RSTU$ is a cross section of a lampshade. The diagonals of $RSTU$ are congruent, and the measure of $\angle S$ is $112\degree$ . What is the measure of $\angle U$ ?

Respuesta :

The sum of the angle ∠T and angle ∠U will be a 180°. Then the angle ∠U will be 68°.

What is a trapezium?

It is a polygon that has four sides. The sum of the internal angle is 360 degrees. In a trapezium, one pair of opposite sides are parallel.

Trapezoid RSTU is a cross-section of a lampshade.

The diagonals of RSTU are congruent, and the measure of angle S is 112 degrees.

Then the measure of angle U will be

Angle S and angle T are equal.

∠S = ∠T = 112°

And the sum of the angle ∠T and angle ∠U will be a 180°.

Then we have

∠T + ∠U = 180°

112° + ∠U = 180°

         ∠U = 68°

More about the trapezium link is given below.

https://brainly.com/question/22607187

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