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In a trapezoid, all angles will add up to 360 degrees. And, that angles T and R will be equal, and angles P and A will also be equal. Therefore, we can double what we have for t and p, add those together, and set them equal to 360 degrees.

2(4x + 12) + 2(2x) = 360

8x + 24 + 4x = 360

12x + 24 = 360

12x = 336

x = 28

The correct answer is C. 28.

Hope this helps!! :)

If TRAP is an isosceles trapezoid and ∠RTP and ∠TPA are co - interior angles, the value of x is 28°.

What are co - interior angles?

Co - interior angles are the two angles that are on the same side of the transversal. Co - interior angles are the interior angles and it sums up to 180 degrees. It means that the sum of two interior angles, which are on the same side of transversal is supplementary.

∠RTP + ∠TPA = 180°

4x + 12 + 2x = 180

6x + 12 = 180

6x = 168

x = 28°

Learn more about co - interior angles here

https://brainly.com/question/17147541

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