Question

question 2 of 22 what is the value of x in the isosceles trapezoid below? a. 11 b. 26 c. 13 d. 22

Explanation:

Step1: Recall property of isosceles trapezoid

In an isosceles trapezoid, base - angles are equal. So, the sum of adjacent non - parallel angles is 180°. We have the equation \(2x+(10x + 24)=180\).

Step2: Simplify the left - hand side of the equation

Combine like terms: \(2x+10x+24 = 12x+24\). So the equation becomes \(12x+24 = 180\).

Step3: Isolate the variable term

Subtract 24 from both sides of the equation: \(12x=180 - 24\), which simplifies to \(12x=156\).

Step4: Solve for x

Divide both sides of the equation by 12: \(x=\frac{156}{12}=13\).

Answer:

C. 13