Question

The lines intersect at point C. What is the value of x?
80
21
159
100

Answer 1

4x-4=3x+17(vert.opp.angles)
x=21

Answer 2

Option B, 21

Explanation:

Step 1: The value of both PCA and DCW are same

(4x - 4) = (3x + 17)

Step 2: Subtract 3x from both sides

4x - 4 - 3x = 3x + 17 - 3x

x - 4 = 17

Step 3: Add 4 to both sides

x - 4 + 4 = 17 + 4

x = 21

Answer: Option B, 21