Respuesta :

tramserran

Answer:   E) x = 19

Step-by-step explanation:

PA and TR are the top and bottom bases.

Therefore, ∠T ≅ ∠R and ∠P ≅ ∠A.

Thus, ∠P and ∠T are supplementary (sum equals 180°)

  ∠P    +    ∠T = 180

5x + 9  +    4x = 180

           9x + 9 = 180

           9x       = 171

             x       = 19

The value of x is 19 degrees, the correct option is E.

What is a Trapezoid?

A trapezoid is a quadrilateral with one pair of parallel sides.

TRAP is an Isosceles trapezoid

PA and TR are the top and bottom bases which are parallel to each other

As PT acts as a transversal ,

∠P and ∠T are supplementary angles

Therefore, the sum of the angles  ∠P and ∠T will be equal to 180 degree

∠P  +  ∠T = 180

5x + 9  +    4x =  180

9x + 9 =  180

9x       =  171

 x       =  19 degree

To know more about Trapezoid

https://brainly.com/question/8643562

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