Question

How do I find the value of X?? The answer choices are:

7.58 cm
10.4 cm
13.846 cm
52.65 cm

Answer 1

Explanation:

<A = <C

The angles meeting at B and are part of the triangle are vertically opposite and therefore equal.

<E and <D are equal. (given)

Therefore by angle angle angle, the two connected triangles are similar

AD/CE = 12/x from <A = <C

27/23.4=12/x Cross Multiply

27x = 12*23.4 Combine the Right Side

27x = 280.8 Divide by 27

x = 280.8/27

Answer: x = 10.5 cm