Respuesta :

Answer:

B

Step-by-step explanation:

∠ACE and ∠ECB form a straight angle whose sum = 180°, hence

2x + 2 + 5x + 3 = 180

7x + 5 = 180 ( subtract 5 from both sides )

7x = 175 ( divide both sides by 7 )

x = 25 → C

MrRoyal

The value of x if lines DE and AB intersect is 25

How to determine the value of x

To calculate the value of x, we make use of the following supplementary angle formula.

So, we have:

2x + 2 + 5x + 3 = 180

Collect like terms

2x + 5x+ 2  + 3 = 180

Evaluate the like terms

7x + 5 = 180

Subtract 5 from both sides

7x = 175

Divide both sides by 7

x = 25

Hence, the value of x is 25

Read more about angles at:

https://brainly.com/question/14362353

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