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in the isosceles trapezoid below, x = ? ° 5x + 15° 7x - 11°

Question

in the isosceles trapezoid below, x = ? ° 5x + 15° 7x - 11°

Explanation:

Step1: Use isosceles trapezoid property

In an isosceles trapezoid, base - angles are equal. So, $5x + 15=7x - 11$.

Step2: Solve the equation for x

First, move the x - terms to one side: $15 + 11=7x-5x$.
$26 = 2x$.
Then, divide both sides by 2: $x=\frac{26}{2}=13$.

Answer:

$13$