Question

While visiting your friend in the​ city, you see two roads that intersect as shown. Your friend tells you that the angle between the roads on the north side is 69° and the angle between the roads on the south side is (3x)°. Find the value of x.

Answer 1

Answer and Step-by-step explanation:

Let's call the angle between the roads on the south side "y" for simplicity. Since the two roads intersect, the sum of the two adjacent angles on one side must add up to 180 degrees. Therefore, we can set up an equation:

y + 69 = 180

Solving for y, we get:

y = 180 - 69 = 111

We also know that y is equal to 3x, so we can set up another equation:

3x = 111

Solving for x, we get:

x = 37

Therefore, the value of x is 37.

Hope it helps! : )