Question

If mZcDF = (3x + 14), mZFDE = (5x - 2), and mZCDE = (10x – 18), find the value of x.

a) 4
b) 6
c) 8
d) 10

Answer 1

To find the value of x, set the angles equal to each other and solve the equation. The value of x is 4.

Step-by-step explanation:

To find the value of x, we need to set the angles equal to each other.

We have mZcDF = (3x + 14),

mZFDE = (5x - 2), and mZCDE = (10x – 18).

Setting mZFDE equal to mZCDE, we have (5x - 2) = (10x - 18). Solving for x, we get x = 4.

Therefore, the correct answer is a) 4.