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# If TRAP is an isosceles trapezoid, what is the value of x?

Trapezoids are interesting shapes that have interesting properties. They have only one pair of parallel lines and one pair of non-parallel lines. If the non-parallel lines are equal, then it is called isosceles trapezoid, just like isosceles triangles. Let's solve a problem related to them.

## Answer: In the isosceles trapezoid TRAP, the value of x is 28.

Let's understand the solution to the problem.

**Explanation:**

From the above picture, we see that sides TR and AP are parallel to each other.

Hence, by supplementary angles property of parallel lines:

⇒ angle RTP + angle APT = 180

Hence, (4x + 12)° + 2x° = 180°

(6x + 12)° = 180°

6x = (180 - 12)°

x = 168/6 = 28°

### Hence, from the above equation, we see that in the isosceles trapezoid TRAP, the value of x is 28.

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