what is the value of x in the isosceles trapezoid below? the top is 10x degrees and the bottom is (3x+11) degrees

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nun

To find the value of x in the isosceles trapezoid, we can set up an equation based on the given information.

In an isosceles trapezoid, the opposite angles at the bases are equal. Therefore, we can equate the top angle (10x) to the bottom angle (3x + 11).

10x = 3x + 11

To solve for x, we need to isolate the variable on one side of the equation. We can do this by subtracting 3x from both sides:

10x - 3x = 3x + 11 - 3x

Simplifying the equation:

7x = 11

Finally, to solve for x, we divide both sides of the equation by 7:

7x/7 = 11/7

x = 11/7

Hence, the value of x in the isosceles trapezoid is 11/7.

To find the value of x in the isosceles trapezoid, you need to use the fact that in an isosceles trapezoid, the non-parallel sides are congruent.

In this case, the top angle is given as 10x degrees, and the bottom angle is given as (3x+11) degrees. Since the two non-parallel sides are congruent, their corresponding angles must be congruent as well.

Thus, you can set up the equation:

10x = 3x + 11

To solve for x, start by simplifying the equation:

10x - 3x = 11

Combine like terms:

7x = 11

To isolate x, divide both sides of the equation by 7:

x = 11/7

Therefore, the value of x in the isosceles trapezoid is 11/7.