Question

If TRAP is an isosceles trapezoid, what is the value of x? (4x+12) = t 2x = p

Answer 1

Answer:

C. 28.

Step-by-step explanation:

TR is parallel to PA so the 'inside' angles are supplementary, so

2x + 4x + 12 = 180

6x = 180-12 = 168

x = 168/6

x = 28.

Answer 2

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!! :)