Question

Find the value of x for which line a is parallel to line b

Answer 1

Answer:

20

Step-by-step explanation:

The question tells us that line a is parallel to line b (even if they don't seem to be in the image).

∠8 = ∠4 and ∠5 = ∠1 since line t crosses the parallel lines.

We are given ∠4 = 3x and ∠5 = 6x.

Since we know ∠8 = ∠4 , we can then say

∠8 = 3x and ∠5 = 6x

Since ∠8 and ∠5 are complementary and combined they form a flat angle of 180 degrees, we can say:

3x + 6x = 180

9x = 180

x = 20