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

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

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

Answer

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)