Final answer:
To find the value of x in the isosceles trapezoid, we need to set up an equation using the given angles and solve for x. The value of x is -3.
Step-by-step explanation:
To find the value of x in the isosceles trapezoid, we need to set up an equation using the given angles. We know that angle a is equal to 2x and angle c is equal to 10x + 24. Since the trapezoid is isosceles, angle a and angle c are congruent. So we can set up the equation: 2x = 10x + 24. Now, we can solve for x. Subtracting 2x from both sides of the equation gives us: 0 = 8x + 24. Subtracting 24 from both sides gives us: -24 = 8x. Dividing both sides by 8 gives us: -3 = x. Therefore, the value of x in the isosceles trapezoid is -3.