Respuesta :

Answer:

BC = 10 and AD = 30

Step-by-step explanation:

In figure-1 , AB = CD ,BK ⊥ AD,  AK = 10,  KD = 20.

Since, line AD is sum of AK and  KD, then

AD = AK + KD

AD = 10 + 20

AD = 30

Since, BC ║AD and BK ⊥ AD then similarly we construct CL ⊥ AD

so, BC = KL and AK = LD

KL = AD - LD

KL = 20 - 10

KL = 10

Since, BC = KL then BC = 10

Hence, BC = 10 and AD = 30

Ver imagen FelisFelis

The value of AB is 30 and BC is 10.

What is symmetric trapezoid?

Trapezoids can be classified by which two pairs of opposite sides are equal. If both pairs of sides are equal, then it is called an asymmetrical trapezoid.

The given values are as follows;

AK=10, KD=20

The value of AD is given by;

AD = AK+KD

AD = 10+20

AD=30

Like AB=CD this trapezoid is symmetric, then if we draw CL ⊥ AD:

LD=AK → LD=10

BC =K L= KD-LD =20-10 =10

Hence, the value of AB is 30 and BC is 10.

Learn more about trapezoids here;

https://brainly.com/question/9482047

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