Questions: If AB // DE, find the value of x in the following image.

If AB // DE, find the value of x in the following image.
Transcript text: If $\overline{A B} / / \overline{D E}$, find the value of x in the following image.
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Solution

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Solution Steps

Step 1: Identify Similar Triangles

Since AB is parallel to DE, triangles ABC and DEC are similar. This means their corresponding sides are proportional.

Step 2: Set up a Proportion

We can set up the proportion: AB/DE = BC/CD. Substituting the given values, we get 8/20 = x/15.

Step 3: Solve for x

Cross-multiplying gives 20x = 120. Dividing both sides by 20 gives x = 6.

Final Answer

B

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