Question

lines de and ab intersect at point c. what is the value of x? 12 25 38 52

Explanation:

Step1: Use the property of vertical angles

Vertical angles are equal. So, \(2x + 2+5x + 3 = 180\) (since they are linear - pair adjacent angles, and the sum of angles on a straight line is \(180^{\circ}\)).
Simplify the left - hand side: \(7x+5 = 180\).

Step2: Solve the linear equation for \(x\)

Subtract \(5\) from both sides: \(7x=180 - 5\), so \(7x = 175\).
Divide both sides by \(7\): \(x=\frac{175}{7}\).

Answer:

\(25\)