Final answer:
The value of the variable x in the isosceles trapezoid, where one angle is given as 50° and the other as (2x+20)°, is 15.
Step-by-step explanation:
To find the value of the variable x in an isosceles trapezoid with one angle given as 50° and the other as (2x+20)°, we can use the properties of isosceles trapezoids. In an isosceles trapezoid, the base angles are equal.
Therefore, if one angle is 50°, the angle across the trapezoid, which is (2x+20)°, must also be 50°. Setting (2x+20)° equal to 50° gives the equation : 2x + 20 = 50
Solving for x involves subtracting 20 from both sides and then dividing by 2. 2x = 30, x = 15. So the value of the variable x is 15.