lines de and ab intersect at point c. what is the value of x? (2x + 2)° (5x + 3)° o 12 o 25 o 38 o 52

Answer:

12

Explanation:

Step1: Identify vertical - angles

Vertical angles are equal. $\angle ACE$ and $\angle BCD$ are vertical angles, so $2x + 2=5x+ 3 - 90$.

Step2: Simplify the equation

$2x+2 = 5x - 87$.

Step3: Rearrange the terms

$87 + 2=5x - 2x$.

Step4: Solve for x

$89 = 3x$, so $x = 12$.